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The Homotopy Theory of (∞,1)-Categories on Hardback by Julia E. Bergner
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The Homotopy Theory of (∞,1)-Categories

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Description

The notion of an (∞,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many different approaches to this structure, all of them equivalent, and each with its corresponding homotopy theory. This book provides a relatively self-contained source of the definitions of the different models, the model structure (homotopy theory) of each, and the equivalences between the models. While most of the current literature focusses on how to extend category theory in this context, and centers in particular on the quasi-category model, this book offers a balanced treatment of the appropriate model structures for simplicial categories, Segal categories, complete Segal spaces, quasi-categories, and relative categories, all from a homotopy-theoretic perspective. Introductory chapters provide background in both homotopy and category theory and contain many references to the literature, thus making the book accessible to graduates and to researchers in related areas.

Author Biography:

Julia E. Bergner is an Associate Professor at the University of Virginia. She has written several foundational papers in the area of (∞, 1)-categories, and is currently working on generalizations to higher (∞, n)-categories, (∞, 1)-operads, and equivariant versions. She currently has an NSF CAREER award to investigate algebraic and geometric applications of these kinds of structures. This book was inspired by the notes from a series of lectures on 'The Homotopy Theory of Homotopy Theories' presented in Israel in 2010, with talks given by the author and a number of other participants.
Release date NZ
March 15th, 2018
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises
Pages
284
Dimensions
156x235x20
ISBN-13
9781107101364
Product ID
27185076

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The Homotopy Theory of (∞,1)-Categories by Julia E. Bergner
$126.00
The Homotopy Theory of (∞,1)-Categories
by Julia E. Bergner ~ Paperback / softback
Available - Usually ships in 3-4 weeks

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