- Inbunden (Hardback)
- Antal sidor
- Cambridge University Press
- 240 x 155 x 15 mm
- Antal komponenter
- 520 g
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The Homotopy Theory of (,1)-Categories
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Fler böcker av Julia E Bergner
Homotopy Theory of (infinity,1)-Categories
Julia E Bergner
The notion of an (infinity,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 homo...
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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 he Homotopy Theory of Homotopy Theories' presented in Israel in 2010, with talks given by the author and a number of other participants.
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.