The Homotopy Theory of ( ,1)-Categories
The Homotopy Theory of ( ,1)-Categories
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Summary
Homotopical or (∞,1)-categories have become a significant framework in many areas of mathematics. This book gives an introduction to the different approaches to these structures and the comparisons between them from the perspective of homotopy theory.
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The Homotopy Theory of ( ,1)-Categories by Julia E Bergner
Homotopical or ( ,1)-categories have become a significant framework in many areas of mathematics. This book gives an introduction to the different approaches to these structures and the comparisons between them from the perspective of homotopy theory.
'The writing is accessible, even for students, and the ideas are clearThe 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
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.
| SKU | Unavailable |
| ISBN 13 | 9781107499027 |
| ISBN 10 | 110749902X |
| Title | The Homotopy Theory of ( ,1)-Categories |
| Author | Julia E Bergner |
| Series | London Mathematical Society Student Texts |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2018-03-15 |
| Number of pages | 284 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |