Cargando…
Homotopy theory of higher categories /
"The study of higher categories is attracting growing interest for its many applications in topology, algebraic geometry, mathematical physics and category theory. In this highly readable book, Carlos Simpson develops a full set of homotopical algebra techniques and proposes a working theory of...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2012.
|
| Colección: | New mathematical monographs ;
19. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn773040607 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 120117s2012 enk ob 001 0 eng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d YDXCP |d E7B |d OCLCQ |d CAMBR |d OSU |d OCLCF |d OCLCQ |d YDX |d HEBIS |d OCLCO |d BUF |d OCLCQ |d TKN |d OCLCQ |d VLY |d OCLCQ |d UKAHL |d OCLCO |d OCLCQ | ||
| 019 | |a 982877160 |a 983196023 |a 1162083418 | ||
| 020 | |a 9781139190220 |q (electronic bk.) | ||
| 020 | |a 1139190229 |q (electronic bk.) | ||
| 020 | |a 9780511978111 |q (electronic bk.) | ||
| 020 | |a 0511978111 |q (electronic bk.) | ||
| 020 | |a 9781139185325 | ||
| 020 | |a 1139185322 | ||
| 020 | |a 1139188917 | ||
| 020 | |a 9781139188913 | ||
| 020 | |a 9786613378408 | ||
| 020 | |a 6613378402 | ||
| 020 | |a 1139187635 | ||
| 020 | |a 9781139187633 | ||
| 020 | |a 1139183001 | ||
| 020 | |a 9781139183000 | ||
| 020 | |z 9780521516952 | ||
| 020 | |z 0521516951 | ||
| 035 | |a (OCoLC)773040607 |z (OCoLC)982877160 |z (OCoLC)983196023 |z (OCoLC)1162083418 | ||
| 050 | 4 | |a QA612.7 |b .S56 2012eb | |
| 072 | 7 | |a MAT |x 002040 |2 bisacsh | |
| 082 | 0 | 4 | |a 512/.62 |2 23 |
| 084 | |a MAT038000 |2 bisacsh | ||
| 049 | |a UAMI | ||
| 100 | 1 | |a Simpson, Carlos, |d 1962- | |
| 245 | 1 | 0 | |a Homotopy theory of higher categories / |c Carlos Simpson. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2012. | ||
| 300 | |a 1 online resource (xviii, 634 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a New mathematical monographs ; |v 19 | |
| 504 | |a Includes bibliographical references (pages 618-629) and index. | ||
| 520 | |a "The study of higher categories is attracting growing interest for its many applications in topology, algebraic geometry, mathematical physics and category theory. In this highly readable book, Carlos Simpson develops a full set of homotopical algebra techniques and proposes a working theory of higher categories. Starting with a cohesive overview of the many different approaches currently used by researchers, the author proceeds with a detailed exposition of one of the most widely used techniques: the construction of a Cartesian Quillen model structure for higher categories. The fully iterative construction applies to enrichment over any Cartesian model category, and yields model categories for weakly associative n-categories and Segal n-categories. A corollary is the construction of higher functor categories which fit together to form the (n+1)-category of n-categories. The approach uses Tamsamani's definition based on Segal's ideas, iterated as in Pelissier's thesis using modern techniques due to Barwick, Bergner, Lurie and others"-- |c Provided by publisher | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Part I. Higher Categories: 1. History and motivation; 2. Strict n-categories; 3. Fundamental elements of n-categories; 4. Operadic approaches; 5. Simplicial approaches; 6. Weak enrichment over a cartesian model category: an introduction -- Part II. Categorical Preliminaries: 7. Model categories; 8. Cell complexes in locally presentable categories; 9. Direct left Bousfield localization -- Part III. Generators and Relations: 10. Precategories; 11. Algebraic theories in model categories; 12. Weak equivalences; 13. Cofibrations; 14. Calculus of generators and relations; 15. Generators and relations for Segal categories -- Part IV. The Model Structure: 186 Sequentially free precategories; 17. Products; 18. Intervals; 19. The model category of M-enriched precategories -- Part V. Higher Category Theory: 20. Iterated higher categories; 21. Higher categorical techniques; 22. Limits of weak enriched categories; 23. Stabilization. | |
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Homotopy theory. | |
| 650 | 0 | |a Categories (Mathematics) | |
| 650 | 6 | |a Homotopie. | |
| 650 | 6 | |a Catégories (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Categories (Mathematics) |2 fast |0 (OCoLC)fst00849000 | |
| 650 | 7 | |a Homotopy theory. |2 fast |0 (OCoLC)fst00959852 | |
| 650 | 7 | |a Homotopietheorie |2 gnd | |
| 650 | 7 | |a Kategorientheorie |2 gnd | |
| 776 | 0 | 8 | |i Print version: |a Simpson, Carlos, 1962- |t Homotopy theory of higher categories. |d Cambridge ; New York : Cambridge University Press, 2012 |z 9780521516952 |w (DLC) 2011026520 |w (OCoLC)743431958 |
| 830 | 0 | |a New mathematical monographs ; |v 19. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=409043 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH13438628 | ||
| 938 | |a ebrary |b EBRY |n ebr10520659 | ||
| 938 | |a EBSCOhost |b EBSC |n 409043 | ||
| 938 | |a YBP Library Services |b YANK |n 7236319 | ||
| 938 | |a YBP Library Services |b YANK |n 7308077 | ||
| 938 | |a YBP Library Services |b YANK |n 7408120 | ||
| 938 | |a YBP Library Services |b YANK |n 7571837 | ||
| 994 | |a 92 |b IZTAP | ||