The Homotopy Theory of (∞,1)-Categories

Author:   Julia E. Bergner (University of Virginia)
Publisher:   Cambridge University Press
Volume:   90
ISBN:  

9781107101364


Pages:   284
Publication Date:   15 March 2018
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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The Homotopy Theory of (∞,1)-Categories


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Author:   Julia E. Bergner (University of Virginia)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Volume:   90
Dimensions:   Width: 15.60cm , Height: 2.00cm , Length: 23.50cm
Weight:   0.520kg
ISBN:  

9781107101364


ISBN 10:   1107101360
Pages:   284
Publication Date:   15 March 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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 (∞, 1)-categories; References; Index.

Reviews

'The writing is accessible, even for students, and the ideas are clear. The author gives references for every claim and definition, with the added advantage that some technical [lengthy] points can be left out to avoid burying the ideas.' Najib Idrissi, zbMATH 'The writing is accessible, even for students, and the ideas are clear. The author gives references for every claim and definition, with the added advantage that some technical [lengthy] points can be left out to avoid burying the ideas.' Najib Idrissi, zbMATH


Author Information

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.

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