Classifying spaces and classifying topoi:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1995
|
| Series: | Lecture notes in mathematics
1616 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 94 S. graph. Darst. |
| ISBN: | 3540603190 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface v
Introduction 1
I Background in Topos Theory 5
§1 Basic definitions 5
§2 First examples 8
§3 Some constructions of topoi 13
§4 Cohomology and homotopy 15
II Classifying Topoi 21
§1 Group actions 21
§2 Diaconescu s theorem 24
§3 The classifying topos of a topological category 28
§4 Diaconescu s theorem for s etale categories 31
§5 Sheaves on simplicial spaces 37
§6 Cohomology of classifying topoi 43
§7 Some homotopy equivalences between classifying topoi 50
III Geometric Realization 57
§1 Geometric realization of simplicial spaces 57
§2 Classifying spaces 60
§3 Geometric realization by cosimplicial topoi 66
§4 Sheaves and geometric realization 70
IV Comparison Theorems 77
§1 Discrete categories 77
§2 s Etale categories 80
§3 Segal s theorem on T 83
§4 Comparison for topological categories 86
References 89
Index 92
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:51:10Z |
| institution | BVB |
| isbn | 3540603190 |
| language | English |
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| physical | 94 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Moerdijk, Izak Verfasser aut Classifying spaces and classifying topoi I. Moerdijk Berlin [u.a.] Springer 1995 94 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1616 Classifying spaces Grothendieck categories Toposes Klassifizierender Raum (DE-588)4164035-4 gnd rswk-swf Topos Mathematik (DE-588)4185717-3 gnd rswk-swf Klassifizierender Raum (DE-588)4164035-4 s DE-604 Topos Mathematik (DE-588)4185717-3 s Lecture notes in mathematics 1616 (DE-604)BV000676446 1616 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006897302&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Moerdijk, Izak Classifying spaces and classifying topoi Lecture notes in mathematics Classifying spaces Grothendieck categories Toposes Klassifizierender Raum (DE-588)4164035-4 gnd Topos Mathematik (DE-588)4185717-3 gnd |
| subject_GND | (DE-588)4164035-4 (DE-588)4185717-3 |
| title | Classifying spaces and classifying topoi |
| title_auth | Classifying spaces and classifying topoi |
| title_exact_search | Classifying spaces and classifying topoi |
| title_full | Classifying spaces and classifying topoi I. Moerdijk |
| title_fullStr | Classifying spaces and classifying topoi I. Moerdijk |
| title_full_unstemmed | Classifying spaces and classifying topoi I. Moerdijk |
| title_short | Classifying spaces and classifying topoi |
| title_sort | classifying spaces and classifying topoi |
| topic | Classifying spaces Grothendieck categories Toposes Klassifizierender Raum (DE-588)4164035-4 gnd Topos Mathematik (DE-588)4185717-3 gnd |
| topic_facet | Classifying spaces Grothendieck categories Toposes Klassifizierender Raum Topos Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006897302&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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