Higher Categories and Homotopical Algebra

✍ Scribed by Denis-Charles Cisinski

Publisher: Cambridge University Press
Year: 2019
Tongue: English
Leaves: 450
Series: Cambridge Studies in Advanced Mathematics (Book 180)
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This user-friendly book introduces modern homotopy theory through the lens of higher categories after Joyal and Lurie. Starting from scratch it guides graduate students and researchers through the powerful tools that the theory provides for applications in such areas as algebraic geometry, representation theory, algebra and logic.

✦ Table of Contents

Cover
Front Matter
CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS
Higher Categories and
Homotopical Algebra
Copyright
Dedication
Contents
Preface
1 Prelude
2 Basic Homotopical Algebra
3 The Homotopy Theory of ∞-Categories
4 Presheaves: Externally
5 Presheaves: Internally
6 Adjoints, Limits and Kan Extensions
7 Homotopical Algebra
Bibliography
Notation
Index

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