Higher Categories and Homotopical Algebra

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

Inhaltsverzeichnis

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.

Über den Autor / die Autorin

Denis-Charles Cisinski is Professor of Mathematics at the Universität Regensburg, Germany. His research focuses on homotopical algebra, category theory, K-theory and the cohomology of schemes. He is also the author of a monograph entitled Les préfaisceaux comme modèles des types d'homotopie (2007).

Zusammenfassung

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.

Produktdetails

• Autoren: Denis-Charles Cisinski, Denis-Charles (Universitat Regensburg Cisinski
• Verlag: Cambridge University Press ELT
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 31.05.2019
• EAN: 9781108473200
• ISBN: 978-1-108-47320-0
• Seiten: 448
• Serien: Cambridge Studies in Advanced; Cambridge Studies in Advanced Mathematics; Cambridge Studies in Advanced
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Geometrie; MATHEMATICS / Topology, Algebraic Geometry, Algebraic Topology