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Homotopy Theory Of ( ,1)-categories

Homotopy Theory Of ( ,1)-categories - Bergner, Julia E. (university Of Virginia) - ISBN: 9781107499027
Prijs: € 38,10
Levertijd: 3 tot 4 werkdagen
Bindwijze: Boek
Genre: Wiskunde algemeen
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Beschrijving

An introductory treatment to the homotopy theory of homotopical categories, presenting several models and comparisons between them.

Details

Titel: Homotopy Theory Of ( ,1)-categories
auteur: Bergner, Julia E. (university Of Virginia)
Mediatype: Boek
Taal: Engels
Aantal pagina's: 284
Uitgever: Cambridge University Press
Plaats van publicatie: 03
NUR: Wiskunde algemeen
Afmetingen: 153 x 227 x 22
Gewicht: 412 gr
ISBN/ISBN13: 9781107499027
Intern nummer: 39949229

Biografie (woord)

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.

Inhoudsopgave

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.

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