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Cambridge University Press Cambridge Categorical Homotopy Theory - Mathematical Monograph

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Description

Categorical Homotopy Theory by Emily Riehl provides a modern approach to abstract homotopy theory through a categorical lens. Published by Cambridge University Press as part of the New Mathematical Monographs series, this text focuses on practical examples to bridge theoretical gaps. The book addresses the two primary ways researchers encounter homotopy (co)limits: as derived functors in diagram categories with model structures, or through specific formulae used in certain examples. Riehl unifies these different perspectives, demonstrating that model structures on diagram categories are not required for these concepts. This work offers a cohesive framework for understanding how homotopy (co)limits function as a special case within the broader mathematical landscape.

Key Features

Published by Cambridge University Press as part of the New Mathematical Monographs series.

Develops abstract homotopy theory using a categorical perspective with a focus on specific examples.

Unifies competing perspectives on homotopy (co)limits found in mathematical research.

Explains homotopy (co)limits as a special case within the categorical framework.

Addresses the relationship between derived functors and model structures on diagram categories.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
14 August 2014
Listed Since
19 November 2013

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