From Categories to Homotopy Theory

Bridge the gap between category theory and its applications in homotopy theory with this guide for graduate students and researchers.

Inhaltsverzeichnis

Introduction; Part I. Category Theory: 1. Basic notions in category theory; 2. Natural transformations and the Yoneda lemma; 3. Colimits and limits; 4. Kan extensions; 5. Comma categories and the Grothendieck construction; 6. Monads and comonads; 7. Abelian categories; 8. Symmetric monoidal categories; 9. Enriched categories; Part II. From Categories to Homotopy Theory: 10. Simplicial objects; 11. The nerve and the classifying space of a small category; 12. A brief introduction to operads; 13. Classifying spaces of symmetric monoidal categories; 14. Approaches to iterated loop spaces via diagram categories; 15. Functor homology; 16. Homology and cohomology of small categories; References; Index.

Über den Autor / die Autorin

Birgit Richter is Professor of Mathematics at Universität Hamburg. She is the co-editor of Structured Ring Spectra (2004) and New Topological Contexts for Galois Theory and Algebraic Geometry (2009).

Produktdetails

• Autoren: Birgit Richter, Birgit (Universitat Hamburg) Richter, Richter Birgit
• Verlag: Cambridge University Press ELT
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 31.05.2020
• EAN: 9781108479622
• ISBN: 978-1-108-47962-2
• Seiten: 400
• Serien: Cambridge Studies in Advanced Mathematics; Cambridge Studies in Advanced
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Sonstiges; MATHEMATICS / Topology, Algebraic Topology