Higher Categories and Homotopical Algebra

ISBN-13: 9781108473200 / Angielski / Twarda / 2019 / 448 str.

Denis-Charles Cisinski

Opis

At last, a friendly introduction to modern homotopy theory after Joyal and Lurie, reaching advanced tools and starting from scratch.

Recenzje

'As someone doing research and advising graduate students in a closely-related area, I am happy to see a book like this in the literature. It will help readers to learn this subject, and to gain a deep understanding of the foundational ideas.' Julie Bergner, MAA Reviews

Spis treści

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; References; Notation; Index.