Higher topos theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton and Oxford
Princeton University Press
2009
|
| Schriftenreihe: | Annals of mathematics studies
numbber 170 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xv, 925 Seiten Illustrationen, Diagramme |
| ISBN: | 9780691140483 9780691140490 |
Internformat
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| 245 | 1 | 0 | |a Higher topos theory |c Jacob Lurie |
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| 264 | 4 | |c © 2009 | |
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Datensatz im Suchindex
| _version_ | 1804139355958149120 |
|---|---|
| adam_text | Contents
Preface
vii
Chapter
1.
An Overview of Higher Category Theory
1
1.1
Foundations for Higher Category Theory
1
1.2
The Language of Higher Category Theory
26
Chapter
2.
Fibrations of Simplicial Sets
53
2.1
Left Fibrations
55
2.2
Simplicial Categories and oo-Categories
72
2.3
Inner Fibrations
95
2.4
Cartesian Fibrations
114
Chapter
3.
The oo-Category of oo-Categories
145
3.1
Marked Simplicial Sets
147
3.2
Straightening and Unstraightening
169
3.3
Applications
204
Chapter
4.
Limits and Colimits
223
4.1
Cofinality
223
4.2
Techniques for Computing Colimits
240
4.3
Kan Extensions
261
4.4
Examples of Colimits
292
Chapter
5.
Presentable and Accessible oo-Categories
311
5.1
oo-Categories of Presheaves
312
5.2
Adjoint Functors
331
5.3
oo-Categories of Inductive Limits
377
5.4
Accessible oo-Categories
414
5.5
Presentable oo-Categories
455
Chapter
6.
oo-Topoi
526
6.1
oo-Topoi: Definitions and Characterizations
527
6.2
Constructions of oo-Topoi
569
6.3
The oo-Category of oo-Topoi
593
6.4
n-Topoi
632
6.5
Homotopy Theory in an oo-Topos
651
Chapter
7.
Higher
Topos
Theory in Topology
682
vi
CONTENTS
7.1
Paracompact
Spaces 683
7.2 Dimension
Theory
711
7.3
The Proper Base Change Theorem
742
Appendix.
781
A.I Category Theory
781
A.2 Model Categories
803
A.3 Simplicial Categories
844
Bibliography
909
General Index
915
Index of Notation
923
|
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| classification_tum | MAT 180f |
| ctrlnum | (OCoLC)244702012 (DE-599)BVBBV035663891 |
| dewey-full | 512/.62 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.62 |
| dewey-search | 512/.62 |
| dewey-sort | 3512 262 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV035663891 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:42:46Z |
| institution | BVB |
| isbn | 9780691140483 9780691140490 |
| language | English |
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| oclc_num | 244702012 |
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| physical | xv, 925 Seiten Illustrationen, Diagramme |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Princeton University Press |
| record_format | marc |
| series | Annals of mathematics studies |
| series2 | Annals of mathematics studies |
| spelling | Lurie, Jacob 1977- Verfasser (DE-588)139905529 aut Higher topos theory Jacob Lurie Princeton and Oxford Princeton University Press 2009 © 2009 xv, 925 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Annals of mathematics studies numbber 170 Categories (Mathematics) Toposes Kategorientheorie (DE-588)4120552-2 gnd rswk-swf Topos Mathematik (DE-588)4185717-3 gnd rswk-swf Kategorientheorie (DE-588)4120552-2 s Topos Mathematik (DE-588)4185717-3 s DE-604 Erscheint auch als Online-Ausgabe 978-1-4008-3055-8 Annals of mathematics studies numbber 170 (DE-604)BV000000991 170 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017718275&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lurie, Jacob 1977- Higher topos theory Annals of mathematics studies Categories (Mathematics) Toposes Kategorientheorie (DE-588)4120552-2 gnd Topos Mathematik (DE-588)4185717-3 gnd |
| subject_GND | (DE-588)4120552-2 (DE-588)4185717-3 |
| title | Higher topos theory |
| title_auth | Higher topos theory |
| title_exact_search | Higher topos theory |
| title_full | Higher topos theory Jacob Lurie |
| title_fullStr | Higher topos theory Jacob Lurie |
| title_full_unstemmed | Higher topos theory Jacob Lurie |
| title_short | Higher topos theory |
| title_sort | higher topos theory |
| topic | Categories (Mathematics) Toposes Kategorientheorie (DE-588)4120552-2 gnd Topos Mathematik (DE-588)4185717-3 gnd |
| topic_facet | Categories (Mathematics) Toposes Kategorientheorie Topos Mathematik |
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