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Авторизация |
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Поиск по указателям |
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Moerdijk I. — Classifying Spaces and Classifying Topoi |
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Предметный указатель |
15
7
16
43
27 35 80 83
43
88
18
8
58
63
8
36
83
40
11 28
21
40
38 43
51
58
19
54 69
17
18
18
59
37
58
59
67
69
AB 15
Augmentation 39
Augmented bundle 39 40
AugPrin(X,K,Y) 39
Bc 60
Bousfield — Kan spectral sequence 50
Bundle, augmented 39
Bundle, C- 24
Classifying space 60
Classifying topos 11
Classifying topos of a topological category 29
Cohomology of a category 43
Cohomology of a topos 15
Colimits of topoi 13
Comma-category 8
Comparison between classifying topoi and classifying spaces 77 ff
Concordance classes 27 35 79 83
Concordant 27
Connected morphism 19
Connected object 17
Connected topos 17
Constant sheaf functor 8
Contractible Kan complex 17
Cosimplicial sets 40
Cosimplicial topos 66
Covering spaces 17 79
Deligne classifying topos 38 88
Descent data 29
Diaconescu’s theorem 24 28
Diagram of spaces 38 49
Direct image functors 7
Disjoint sum 5
Effective descent map 29
Equivalence between topoi 8
Equivalence of topological categories 30
Equivalence relation 6
Equivalent topoi 8
Essentially surjective 30
Etale homotopy groups 18
Etale map 8
Etale space 8
Exact diagram 6
Filtering 24
First vertex functor 60
Flat 24
Foliations 3 84
free 24
Fully faithful 30
Fundamental group 17 18
G-equivariant sheaves 28
Generate 7
Generators 7
Geometric realization of simplicial spaces 59
Geometric realization |X| 57
Giraud axioms 5
Global sections functor 8
Grothendieck spectral sequence 16
Haefliger groupoid 4
| Holonomy groupoid 3
Homotopic 18
Homotopy classes of topos morphisms 19 23
Homotopy of a topos 15
Hurewicz Theorem 18
Hypercovers 16
Inductive limit of topoi 14
Inverse image functor 7
Invertible C-sheaf 51
Irreducible closed set 9
Leray spectral sequence 16
Lin(X) 40
Lin(X,Y) 42
Linear order 40
Linear order, C-augmented 88
Local homeomorphism 8
Locally acyclic 16
Locally connected 17 50 51
Locally connected topos 17
Locally constant objects 17
Locally contractible category 83
M 28
Monoid of smooth embeddings 83
Morphism between topoi 7
Morphism-inverting functors 79
Natural transformation 7
Nerve (C) 38
Prin(X,C) 25 32
Prin(X,G) 21
Prin(X,Y_{K}) 39
Principal C-bundle 24
Principal C-bundles 3 32
Principal G-bundle 21
Products of topoi 15
Profinite fundamental group 17
Progroup 18
Projective resolution 44
Pseudo-constant object 75
Pseudo-constant sheaf 62 75 78
Pushout of topoi 13
Quasi-C-sheaf 54
Quillen’s Theorem A 61
Quillen’s Theorem A, topological version of 63
Representable presheaf 11
S 28
s-etale 31
s-etale topological category 31 80 81
Sets 8
Sh(X) 9
Sh(Y) 38 86
Sheaf 8
Sheaf, C- 28 51
Sheaves on a diagram 38
Sheaves on a simplicial space 38
Sierpinski homotopy 19
Sierpinski interval 67
Sierpinski realization 80
Sierpinski space 59
Simp(Y) 86
Simplicial model category 37
Simplicial object 16
Simplicial sets 40 57
Simplicial space 86
Small category 5
Sober 9
Stably exact 6
Standard n-simplex 58
SUM 5
Sum of topoi 13
Sum, disjoint 5
Sum, stable 6
t 28
Tensor product 25 66
Thickened geometric realization 59
Topological category 3 28 51 88
Topological groupoid 35
Topological version of Quillen’s Theorem A 63
Topos 5 50 55
Topos of presheaves 8
Topos of quasi-C-sheaves 55
Topos of sheaves on a space 8
Topos-theoretic realization 67
Toposophic Whitehead theorem 19
Transitive 24
Trivial fibration 16
U 28
Verdier cohomology 17
Weak homotopy equivalence 19 77 81
Yon 11
Yoneda embedding 11
Yoneda Lemma 11
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