The Homotopy Theory of (∞,1)-Categories

ISBN-13: 9781107499027 / Angielski / Miękka / 2018 / 284 str.

Julia E. Bergner

Opis

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

Recenzje

'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

Spis treści

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.