-
Notifications
You must be signed in to change notification settings - Fork 1
/
report.definition
184 lines (184 loc) · 26.1 KB
/
report.definition
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
\noindent \textls {\textsc {\textcolor {reddo}{Capitolo 1:} }}
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.1.1}\egroup }. \ \unskip \textsc {\ Spazio topologico con assiomi degli aperti}.}}{3}{definitionT.1.1.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.1.2}\egroup }. \ \unskip \textsc {\ Spazio topologico con assiomi dei chiusi}.}}{4}{definitionT.1.1.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.1.3}\egroup }. \ \unskip \textsc {\ Distanza}.}}{4}{definitionT.1.1.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.1.4}\egroup }. \ \unskip \textsc {\ Spazio metrico}.}}{4}{definitionT.1.1.4}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.1.5}\egroup }. \ \unskip \textsc {\ Palla aperta e topologia indotta dalla distanza}.}}{4}{definitionT.1.1.5}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.1.6}\egroup }. \ \unskip \textsc {\ Finezza}.}}{7}{definitionT.1.1.6}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.1.7}\egroup }. \ \unskip \textsc {\ Base}.}}{7}{definitionT.1.1.7}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.1.8}\egroup }. \ \unskip \textsc {\ Chiusura}.}}{9}{definitionT.1.1.8}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.1.9}\egroup }. \ \unskip \textsc {\ Punto aderente}.}}{10}{definitionT.1.1.9}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.1.10}\egroup }. \ \unskip \textsc {\ Interno}.}}{10}{definitionT.1.1.10}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.1.11}\egroup }. \ \unskip \textsc {\ Punto interno}.}}{10}{definitionT.1.1.11}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.1.12}\egroup }. \ \unskip \textsc {\ Frontiera}.}}{10}{definitionT.1.1.12}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.1.13}\egroup }. \ \unskip \textsc {\ Insieme denso}.}}{10}{definitionT.1.1.13}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.1.14}\egroup }. \ \unskip \textsc {\ Intorno}.}}{10}{definitionT.1.1.14}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.1.15}\egroup }. \ \unskip \textsc {\ Sistema fondamentale di intorni}.}}{11}{definitionT.1.1.15}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.2.1}\egroup }. \ \unskip \textsc {\ Funzione continua}.}}{11}{definitionT.1.2.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.2.2}\egroup }. \ \unskip \textsc {\ Continuità per punti; Manetti, 3.27}.}}{13}{definitionT.1.2.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.2.3}\egroup }. \ \unskip \textsc {\ Funzione aperte e funzione chiusa}.}}{13}{definitionT.1.2.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.3.1}\egroup }. \ \unskip \textsc {\ Omeomorfismo}.}}{13}{definitionT.1.3.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.5.1}\egroup }. \ \unskip \textsc {\ Topologia indotta}.}}{15}{definitionT.1.5.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.6.1}\egroup }. \ \unskip \textsc {\ Topologia di sottospazio}.}}{15}{definitionT.1.6.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.6.2}\egroup }. \ \unskip \textsc {\ Aperti, chiusi e basi del sottospazio topologico}.}}{15}{definitionT.1.6.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.6.3}\egroup }. \ \unskip \textsc {\ Immersione}.}}{16}{definitionT.1.6.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.6.4}\egroup }. \ \unskip \textsc {\ Immersione aperta e chiusa}.}}{17}{definitionT.1.6.4}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.7.1}\egroup }. \ \unskip \textsc {\ Topologia prodotto e proiezioni}.}}{17}{definitionT.1.7.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.8.1}\egroup }. \ \unskip \textsc {\ Spazio T1}.}}{20}{definitionT.1.8.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.8.2}\egroup }. \ \unskip \textsc {\ Spazio di Hausdorff}.}}{21}{definitionT.1.8.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {1.9.1}\egroup }. \ \unskip \textsc {\ Proprietà topologica}.}}{24}{definitionT.1.9.1}%
\noindent \textls {\textsc {\textcolor {reddo}{Capitolo 2:} }}
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {2.1.1}\egroup }. \ \unskip \textsc {\ Spazio connesso e spazio sconnesso}.}}{27}{definitionT.2.1.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {2.1.2}\egroup }. \ \unskip \textsc {\ Arco}.}}{29}{definitionT.2.1.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {2.1.3}\egroup }. }}{29}{definitionT.2.1.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {2.1.4}\egroup }. \ \unskip \textsc {\ Giunzione di cammini}.}}{30}{definitionT.2.1.4}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {2.1.5}\egroup }. \ \unskip \textsc {\ Segmento}.}}{31}{definitionT.2.1.5}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {2.1.6}\egroup }. \ \unskip \textsc {\ Sottoinsieme convesso}.}}{31}{definitionT.2.1.6}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {2.1.7}\egroup }. \ \unskip \textsc {\ Sottoinsieme stellato}.}}{31}{definitionT.2.1.7}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {2.1.8}\egroup }. \ \unskip \textsc {\ Componente connessa}.}}{37}{definitionT.2.1.8}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {2.2.1}\egroup }. \ \unskip \textsc {\ Ricoprimento aperto e sottoricoprimento}.}}{38}{definitionT.2.2.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {2.2.2}\egroup }. \ \unskip \textsc {\ Spazio compatto}.}}{38}{definitionT.2.2.2}%
\noindent \textls {\textsc {\textcolor {reddo}{Capitolo 3:} }}
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {3.1.1}\egroup }. \ \unskip \textsc {\ Gruppo topologico}.}}{45}{definitionT.3.1.1}%
\noindent \textls {\textsc {\textcolor {reddo}{Capitolo 4:} }}
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {4.1.1}\egroup }. \ \unskip \textsc {\ Topologia quoziente}.}}{51}{definitionT.4.1.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {4.2.1}\egroup }. \ \unskip \textsc {\ Identificazione}.}}{52}{definitionT.4.2.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {4.3.1}\egroup }. \ \unskip \textsc {\ Cilindro}.}}{56}{definitionT.4.3.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {4.3.2}\egroup }. \ \unskip \textsc {\ Cono}.}}{56}{definitionT.4.3.2}%
\noindent \textls {\textsc {\textcolor {reddo}{Capitolo 5:} }}
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {5.1.1}\egroup }. \ \unskip \textsc {\ Gruppo simmetrico}.}}{61}{definitionT.5.1.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {5.1.2}\egroup }. \ \unskip \textsc {\ Azione di un gruppo su un insieme}.}}{61}{definitionT.5.1.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {5.1.3}\egroup }. \ \unskip \textsc {\ Relazione di equivalenza dell'azione}.}}{62}{definitionT.5.1.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {5.1.4}\egroup }. \ \unskip \textsc {\ Orbita di un elemento}.}}{62}{definitionT.5.1.4}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {5.2.1}\egroup }. \ \unskip \textsc {\ Stabilizzatore di un elemento}.}}{62}{definitionT.5.2.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {5.3.1}\egroup }. \ \unskip \textsc {\ Azione per omeomorfismi}.}}{63}{definitionT.5.3.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {5.3.2}\egroup }. \ \unskip \textsc {\ Spazio proiettivo reale}.}}{67}{definitionT.5.3.2}%
\noindent \textls {\textsc {\textcolor {reddo}{Capitolo 6:} }}
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {6.1.1}\egroup }. \ \unskip \textsc {\ Insieme numerabile}.}}{69}{definitionT.6.1.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {6.1.2}\egroup }. \ \unskip \textsc {\ Secondo assioma di numerabilità {(A base numerabile)}}.}}{69}{definitionT.6.1.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {6.1.3}\egroup }. \ \unskip \textsc {\ Primo assioma di numerabilità}.}}{70}{definitionT.6.1.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {6.1.4}\egroup }. \ \unskip \textsc {\ Spazio separabile}.}}{71}{definitionT.6.1.4}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {6.2.1}\egroup }. \ \unskip \textsc {\ Successione}.}}{73}{definitionT.6.2.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {6.2.2}\egroup }. \ \unskip \textsc {\ Convergenza di una successione}.}}{73}{definitionT.6.2.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {6.2.3}\egroup }. \ \unskip \textsc {\ Limite}.}}{74}{definitionT.6.2.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {6.2.4}\egroup }. \ \unskip \textsc {\ Punto di accumulazione per la successione}.}}{74}{definitionT.6.2.4}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {6.2.5}\egroup }. \ \unskip \textsc {\ Punto di accumulazione per il sottoinsieme e derivato}.}}{75}{definitionT.6.2.5}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {6.2.6}\egroup }. \ \unskip \textsc {\ Sottosuccessione}.}}{75}{definitionT.6.2.6}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {6.3.1}\egroup }. \ \unskip \textsc {\ Compatto per successioni}.}}{78}{definitionT.6.3.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {6.4.1}\egroup }. \ \unskip \textsc {\ Successione di Cauchy}.}}{79}{definitionT.6.4.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {6.4.2}\egroup }. \ \unskip \textsc {\ Spazio metrico completo}.}}{80}{definitionT.6.4.2}%
\noindent \textls {\textsc {\textcolor {reddo}{Capitolo 7:} }}
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {7.2.1}\egroup }. \ \unskip \textsc {\ Componente connessa}.}}{86}{definitionT.7.2.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {7.2.2}\egroup }. \ \unskip \textsc {\ Componente c.p.a.}.}}{87}{definitionT.7.2.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {7.4.1}\egroup }. \ \unskip \textsc {\ Omotopia}.}}{88}{definitionT.7.4.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {7.5.1}\egroup }. \ \unskip \textsc {\ Omotopicamente equivalenti}.}}{91}{definitionT.7.5.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {7.5.2}\egroup }. \ \unskip \textsc {\ Spazio contraibile}.}}{92}{definitionT.7.5.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {7.6.1}\egroup }. \ \unskip \textsc {\ Retratto}.}}{95}{definitionT.7.6.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {7.6.2}\egroup }. \ \unskip \textsc {\ Retratto di deformazione}.}}{96}{definitionT.7.6.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {7.7.1}\egroup }. \ \unskip \textsc {\ Bouquet di circonferenze}.}}{97}{definitionT.7.7.1}%
\noindent \textls {\textsc {\textcolor {reddo}{Capitolo 8:} }}
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {8.1.1}\egroup }. \ \unskip \textsc {\ Omotopia di cammini}.}}{101}{definitionT.8.1.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {8.1.2}\egroup }. \ \unskip \textsc {\ Insieme dei cammini}.}}{102}{definitionT.8.1.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {8.2.1}\egroup }. \ \unskip \textsc {\ Cammino costante}.}}{104}{definitionT.8.2.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {8.3.1}\egroup }. \ \unskip \textsc {\ Laccio}.}}{106}{definitionT.8.3.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {8.3.2}\egroup }. \ \unskip \textsc {\ Gruppo fondamentale}.}}{107}{definitionT.8.3.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {8.4.1}\egroup }. \ \unskip \textsc {\ Spazio semplicemente connesso}.}}{109}{definitionT.8.4.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {8.5.1}\egroup }. \ \unskip \textsc {\ Categoria}.}}{110}{definitionnonewlineT.8.5.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {8.5.2}\egroup }. \ \unskip \textsc {\ Isomorfismo}.}}{110}{definitionT.8.5.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {8.5.3}\egroup }. \ \unskip \textsc {\ Funtore}.}}{111}{definitionT.8.5.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {8.9.1}\egroup }. \ \unskip \textsc {\ Distanza di un punto da un insieme in uno spazio metrico}.}}{117}{definitionT.8.9.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {8.9.2}\egroup }. \ \unskip \textsc {\ Numero di Lebesgue}.}}{118}{definitionT.8.9.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {8.13.1}\egroup }. \ \unskip \textsc {\ Mappa esponenziale}.}}{122}{definitionT.8.13.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {8.13.2}\egroup }. \ \unskip \textsc {\ Uniformemente rivestito}.}}{123}{definitionT.8.13.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {8.13.3}\egroup }. \ \unskip \textsc {\ Sollevamento}.}}{123}{definitionnonewlineT.8.13.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {8.13.4}\egroup }. \ \unskip \textsc {\ Grado di un cammino chiuso in $S^1$}.}}{126}{definitionT.8.13.4}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {8.14.1}\egroup }. \ \unskip \textsc {\ Toro}.}}{131}{definitionT.8.14.1}%
\noindent \textls {\textsc {\textcolor {reddo}{Capitolo 9:} }}
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {9.1.1}\egroup }. \ \unskip \textsc {\ Localmente euclideo}.}}{137}{definitionT.9.1.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {9.1.2}\egroup }. \ \unskip \textsc {\ Varietà topologica}.}}{138}{definitionT.9.1.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {9.1.3}\egroup }. \ \unskip \textsc {\ Superficie topologica}.}}{139}{definitionT.9.1.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {9.2.1}\egroup }. \ \unskip \textsc {\ Somma di tori}.}}{144}{definitionT.9.2.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {9.2.2}\egroup }. \ \unskip \textsc {\ Somma connessa di $n$ piani proiettivi}.}}{146}{definitionT.9.2.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {9.3.1}\egroup }. \ \unskip \textsc {\ Triangolo geometrico}.}}{149}{definitionT.9.3.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {9.3.2}\egroup }. \ \unskip \textsc {\ Triangolazione}.}}{149}{definitionT.9.3.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {9.3.3}\egroup }. \ \unskip \textsc {\ Coppie di lati}.}}{150}{definitionT.9.3.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {9.4.1}\egroup }. \ \unskip \textsc {\ Nastro di Möbius}.}}{154}{definitionT.9.4.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {9.5.1}\egroup }. \ \unskip \textsc {\ Orientabilità}.}}{154}{definitionT.9.5.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {9.6.1}\egroup }. \ \unskip \textsc {\ Lato}.}}{156}{definitionT.9.6.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {9.6.2}\egroup }. \ \unskip \textsc {\ Suddivisione di una superficie compatta}.}}{156}{definitionT.9.6.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {9.7.1}\egroup }. \ \unskip \textsc {\ Caratteristica di Eulero di una suddivisione}.}}{157}{definitionT.9.7.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {9.7.2}\egroup }. \ \unskip \textsc {\ Caratteristica di Eulero di una superficie}.}}{158}{definitionT.9.7.2}%
\noindent \textls {\textsc {\textcolor {reddo}{Capitolo 10:} }}
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {10.2.1}\egroup }. \ \unskip \textsc {\ Diagonalizzazione simultanea}.}}{164}{definitionT.10.2.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {10.4.1}\egroup }. \ \unskip \textsc {\ Ideale di una matrice}.}}{166}{definitionT.10.4.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {10.4.2}\egroup }. \ \unskip \textsc {\ Polinomio minimo}.}}{167}{definitionT.10.4.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {10.7.1}\egroup }. \ \unskip \textsc {\ Blocco di Jordan}.}}{171}{definitionT.10.7.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {10.7.2}\egroup }. \ \unskip \textsc {\ Forma di Jordan}.}}{172}{definitionT.10.7.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {10.7.3}\egroup }. \ \unskip \textsc {\ Spazio vettoriale invariante}.}}{173}{definitionT.10.7.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {10.7.4}\egroup }. \ \unskip \textsc {\ Autospazio generalizzato}.}}{174}{definitionT.10.7.4}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {10.8.1}\egroup }. \ \unskip \textsc {\ Funzione esponenziale sui numeri complessi}.}}{188}{definitionT.10.8.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {10.8.2}\egroup }. \ \unskip \textsc {\ Esponenziale di una matrice quadrata complessa}.}}{189}{definitionT.10.8.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {10.8.3}\egroup }. \ \unskip \textsc {\ Norma infinito di una matrice}.}}{190}{definitionT.10.8.3}%
\noindent \textls {\textsc {\textcolor {reddo}{Capitolo 11:} }}
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.1.1}\egroup }. \ \unskip \textsc {\ Spazio proiettivo}.}}{201}{definitionT.11.1.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.1.2}\egroup }. \ \unskip \textsc {\ Dimensione di uno spazio proiettivo}.}}{202}{definitionT.11.1.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.1.3}\egroup }. \ \unskip \textsc {\ Proiezione al quoziente e classe}.}}{202}{definitionT.11.1.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.1.4}\egroup }. \ \unskip \textsc {\ Altre nomenclature proiettive}.}}{202}{definitionnonewlineT.11.1.4}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.1.5}\egroup }. \ \unskip \textsc {\ Spazio proiettivo numerico}.}}{202}{definitionT.11.1.5}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.2.1}\egroup }. \ \unskip \textsc {\ Sottospazio proiettivo}.}}{202}{definitionT.11.2.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.2.2}\egroup }. \ \unskip \textsc {\ Codimensione}.}}{203}{definitionT.11.2.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.3.1}\egroup }. \ \unskip \textsc {\ Riferimento proiettivo e coordinate omogenee}.}}{203}{definitionT.11.3.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.3.2}\egroup }. \ \unskip \textsc {\ Punti fondamentali e punto unità}.}}{204}{definitionT.11.3.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.3.3}\egroup }. \ \unskip \textsc {\ Iperpiano coordinato}.}}{205}{definitionT.11.3.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.5.1}\egroup }. \ \unskip \textsc {\ Sottospazio generato da un sottoinsieme}.}}{207}{definitionT.11.5.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.5.2}\egroup }. \ \unskip \textsc {\ Sottospazio somma}.}}{207}{definitionT.11.5.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.6.1}\egroup }. \ \unskip \textsc {\ Punti linearmente indipendenti}.}}{208}{definitionT.11.6.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.6.2}\egroup }. \ \unskip \textsc {\ Punti in posizione generale}.}}{209}{definitionT.11.6.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.8.1}\egroup }. \ \unskip \textsc {\ Trasformazione proiettiva e proiettività}.}}{212}{definitionT.11.8.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.8.2}\egroup }. \ \unskip \textsc {\ Gruppo lineare proiettivo}.}}{214}{definitionT.11.8.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.8.3}\egroup }. \ \unskip \textsc {\ Proiettivamente equivalenti}.}}{215}{definitionT.11.8.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.8.4}\egroup }. \ \unskip \textsc {\ Punto fisso}.}}{217}{definitionT.11.8.4}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.8.5}\egroup }. \ \unskip \textsc {\ Insieme fisso}.}}{218}{definitionT.11.8.5}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.9.1}\egroup }. \ \unskip \textsc {\ Spazio affine}.}}{219}{definitionT.11.9.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.9.2}\egroup }. \ \unskip \textsc {\ Riferimento affine e coordinate affini}.}}{220}{definitionT.11.9.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.9.3}\egroup }. \ \unskip \textsc {\ Affinità}.}}{220}{definitionT.11.9.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.9.4}\egroup }. \ \unskip \textsc {\ Sottospazio affine}.}}{220}{definitionT.11.9.4}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.10.1}\egroup }. \ \unskip \textsc {\ Chiusura proiettiva della retta affine}.}}{223}{definitionT.11.10.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.10.2}\egroup }. \ \unskip \textsc {\ Chiusura proiettiva di un sottospazio}.}}{225}{definitionT.11.10.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.15.1}\egroup }. \ \unskip \textsc {\ Birapporto}.}}{233}{definitionT.11.15.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.17.1}\egroup }. \ \unskip \textsc {\ Piano proiettivo duale}.}}{239}{definitionT.11.17.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.17.2}\egroup }. \ \unskip \textsc {\ Fascio di rette}.}}{239}{definitionT.11.17.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {11.17.3}\egroup }. \ \unskip \textsc {\ Spazio proiettivo duale}.}}{242}{definitionT.11.17.3}%
\noindent \textls {\textsc {\textcolor {reddo}{Capitolo 12:} }}
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.1.1}\egroup }. \ \unskip \textsc {\ Polinomio omogeneo}.}}{243}{definitionT.12.1.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.1.2}\egroup }. \ \unskip \textsc {\ Curva algebrica piana proiettiva}.}}{244}{definitionT.12.1.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.1.3}\egroup }. \ \unskip \textsc {\ Equazione di una curva}.}}{244}{definitionT.12.1.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.1.4}\egroup }. \ \unskip \textsc {\ Supporto di una curva}.}}{244}{definitionT.12.1.4}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.1.5}\egroup }. \ \unskip \textsc {\ Grado di una curva}.}}{244}{definitionT.12.1.5}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.1.6}\egroup }. \ \unskip \textsc {\ Rette e coniche proiettive}.}}{244}{definitionnonewlineT.12.1.6}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.1.7}\egroup }. \ \unskip \textsc {\ Curva irriducibile}.}}{245}{definitionT.12.1.7}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.2.1}\egroup }. \ \unskip \textsc {\ Conica}.}}{245}{definitionT.12.2.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.2.2}\egroup }. \ \unskip \textsc {\ Rango della conica}.}}{246}{definitionT.12.2.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.4.1}\egroup }. \ \unskip \textsc {\ Curva algebrica piana affine}.}}{248}{definitionT.12.4.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.4.2}\egroup }. \ \unskip \textsc {\ Equazione di una curva}.}}{248}{definitionT.12.4.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.4.3}\egroup }. \ \unskip \textsc {\ Supporto di una curva}.}}{248}{definitionT.12.4.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.4.4}\egroup }. \ \unskip \textsc {\ Grado di una curva}.}}{248}{definitionT.12.4.4}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.4.5}\egroup }. \ \unskip \textsc {\ Curva irriducibile}.}}{248}{definitionT.12.4.5}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.4.6}\egroup }. \ \unskip \textsc {\ Rette e coniche affini}.}}{248}{definitionnonewlineT.12.4.6}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.4.7}\egroup }. \ \unskip \textsc {\ Chiusura proiettiva di una curva affine}.}}{249}{definitionT.12.4.7}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.4.8}\egroup }. \ \unskip \textsc {\ Punti impropri di una curva}.}}{249}{definitionT.12.4.8}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.6.1}\egroup }. \ \unskip \textsc {\ Annullarsi in un punto}.}}{251}{definitionT.12.6.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.7.1}\egroup }. \ \unskip \textsc {\ Molteplicità di intersezione}.}}{253}{definitionT.12.7.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.8.1}\egroup }. \ \unskip \textsc {\ Retta tangente ad una curva in un punto}.}}{255}{definitionT.12.8.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.8.2}\egroup }. \ \unskip \textsc {\ Derivate parziali}.}}{257}{definitionT.12.8.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.8.3}\egroup }. \ \unskip \textsc {\ Gradiente}.}}{257}{definitionT.12.8.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.8.4}\egroup }. \ \unskip \textsc {\ Punto singolare}.}}{258}{definitionT.12.8.4}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.9.1}\egroup }. \ \unskip \textsc {\ Fascio di coniche}.}}{263}{definitionT.12.9.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.9.2}\egroup }. \ \unskip \textsc {\ Conica degenere}.}}{263}{definitionT.12.9.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {12.9.3}\egroup }. \ \unskip \textsc {\ Punti base di un fascio di coniche}.}}{264}{definitionT.12.9.3}%
\noindent \textls {\textsc {\textcolor {reddo}{Appendice A:} }}
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {A.6.1}\egroup }. \ \unskip \textsc {\ Parola}.}}{286}{definitionT.Alph1.6.1}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {A.6.2}\egroup }. \ \unskip \textsc {\ Gruppo libero}.}}{286}{definitionT.Alph1.6.2}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {A.6.3}\egroup }. \ \unskip \textsc {\ Prodotto libero}.}}{286}{definitionT.Alph1.6.3}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {A.6.4}\egroup }. \ \unskip \textsc {\ Somma wedge}.}}{287}{definitionT.Alph1.6.4}%
\contentsline {section}{\small {\textbf {DEF\bgroup \textup {A.7.1}\egroup }. \ \unskip \textsc {\ Convergenza uniforme}.}}{289}{definitionT.Alph1.7.1}%