eBook - PDF

Homotopy Theory of Higher Categories

Name: Homotopy Theory of Higher Categories
ISBN: 9781139180436

From Segal Categories to n-Categories and Beyond

Carlos Simpson,

English
PDF
Available on iOS & Android

eBook - PDF

Homotopy Theory of Higher Categories

From Segal Categories to n-Categories and Beyond

Carlos Simpson,

About this book

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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Yes, you can access Homotopy Theory of Higher Categories by Carlos Simpson in PDF and/or ePUB format, as well as other popular books in Mathematics & Topology. We have over one million books available in our catalogue for you to explore.