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Beschreibung
Bridge the gap between category theory and its applications in homotopy theory with this guide for graduate students and researchers.
Bridge the gap between category theory and its applications in homotopy theory with this guide for graduate students and researchers.
Über den Autor
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).
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.
Details
Erscheinungsjahr: 2021
Fachbereich: Allgemeines
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Gebunden
ISBN-13: 9781108479622
ISBN-10: 1108479626
Sprache: Englisch
Einband: Gebunden
Autor: Richter, Birgit
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 235 x 157 x 28 mm
Von/Mit: Birgit Richter
Erscheinungsdatum: 10.11.2021
Gewicht: 0,801 kg
Artikel-ID: 117939566

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