The Homotopy Theory of ( ,1)-Categories by Julia E Bergner

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	Nicht verfügbar
ISBN 13	9781107499027
ISBN 10	110749902X
Titel	The Homotopy Theory of ( ,1)-Categories
Autor	Julia E Bergner
Serie	London Mathematical Society Student Texts
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Cambridge University Press
Erscheinungsjahr	2018-03-15
Seitenanzahl	284
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar