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Homotopy Theory of Higher Categories
- From Segal Categories to n-Categories and Beyond
Af: Carlos Simpson
Engelsk
Bogcover for Homotopy Theory of Higher Categories af Carlos Simpson, 9780521516952
Specifikationer
Sprog:
Engelsk
Sider:
652
ISBN-13:
9780521516952
Indbinding:
Hardback
ISBN-10:
0521516951
Kategori:
Udg. Dato:
20 okt 2011
Størrelse i cm:
16,1 x 23,2 x 3,8
Forlag:
Serie:
Oplagsdato:
20 okt 2011
Forfatter(e):
Genre:

Homotopy Theory of Higher Categories

- From Segal Categories to n-Categories and Beyond
Af: Carlos Simpson
Engelsk
Hardback 2011
Format:
Hardback
Bog beskrivelse
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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Specifikationer
Sprog:
Engelsk
Sider:
652
ISBN-13:
9780521516952
Indbinding:
Hardback
ISBN-10:
0521516951
Kategori:
Udg. Dato:
20 okt 2011
Størrelse i cm:
16,1 x 23,2 x 3,8
Forlag:
Serie:
Oplagsdato:
20 okt 2011
Forfatter(e):
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