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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 |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2012.
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| Colección: | New mathematical monographs ;
19. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "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"-- |
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| Descripción Física: | 1 online resource (xviii, 634 pages) |
| Bibliografía: | Includes bibliographical references (pages 618-629) and index. |
| ISBN: | 9781139190220 1139190229 9780511978111 0511978111 9781139185325 1139185322 1139188917 9781139188913 9786613378408 6613378402 1139187635 9781139187633 1139183001 9781139183000 |