Homotopy Theory Julia E. Bergner Hardcover Cambridge Universit… 9781107101364 LN

Description: The Homotopy Theory of (∞,1)-Categories: 90 (London Mathematical Society Student Texts, Series Number 90)Julia E. Bergner Cambridge University Press Hardcover Unused and unread, minor cosmetic imperfections such as scuffing or minor creasing. Stamped 'damaged' by publisher to a non-text page. EAN: 9781107101364 Published 15/03/2018 Language: English The notion of an (Ã¢Ë†Å¾,1)-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. Preface Acknowledgments Introduction 1. Models for homotopy theories 2. Simplicial objects 3. Topological and categorical motivation 4. Simplicial categories 5. Complete Segal spaces 6. Segal categories 7. Quasi-categories 8. Relative categories 9. Comparing functors to complete Segal spaces 10. Variants on (Ã¢Ë†Å¾, 1)-categories References Index. DispatchIn stock here - same-day dispatch from England. My SKU: 3257024RefundsNo-hassle refunds are always available if your book is not as expected.Terms and Conditions of SaleSorry - no collections. All sales are subject to extended Terms and Conditions of Sale as well as the Return Policy and Payment Instructions. Visit my eBay Store for details andmany more books. Template layout and design, "JNC Academic Books", "needbooks", Copyright © JNC INC. Designated trademarks, layouts and brands are the property of their respective owners. All Rights Reserved.

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