Niles Johnson (Ohio State University), Donald Yau (Ohio State University)

Homotopy Theory of Enriched Mackey Functors

Closed Multicategories, Permutative Enrichments, and Algebraic Foundations for Spectral Mackey Functors

• Broschiertes Buch

Produktbeschreibung

A detailed treatment of Mackey functors and homotopical applications in the broader context of enriched diagram categories, suitable for graduate students or researchers with an interest in category theory, equivariant homotopy theory, or related fields. A self-contained reference, with complete definitions and full proofs for non-expert readers.

---

Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• London Mathematical Society Lecture Note Series
• Verlag: Cambridge University Press
• Seitenzahl: 536
• Erscheinungstermin: 6. Februar 2025
• Englisch
• Abmessung: 154mm x 230mm x 32mm
• Gewicht: 740g
• ISBN-13: 9781009519526
• ISBN-10: 1009519522
• Artikelnr.: 71953969

Autorenporträt

Niles Johnson is an Associate Professor of Mathematics at the Ohio State University at Newark. His research focuses on algebraic topology.

Inhaltsangabe

1. Motivations from equivariant topology
Part I. Background on Multicategories and K-Theory Functors: 2. Categorically enriched multicategories
3. Infinite loop space machines
4. Homotopy theory of multicategories
Part II. Homotopy Theory of Pointed Multicategories, M1-Modules, and Permutative Categories: 5. Pointed multicategories and M1-modules model all connective spectra
6. Multiplicative homotopy theory of pointed multicategories and M1-modules
Part III. Enrichment of Diagrams and Mackey Functors in Closed Multicategories: 7. Multicategorically enriched categories
8. Change of multicategorical enrichment
9. The closed multicategory of permutative categories
10. Self-enrichment and standard enrichment of closed multicategories
11. Enriched diagrams and Mackey functors of closed multicategories
Part IV. Homotopy Theory of Enriched Diagrams and Mackey Functors: 12. Homotopy equivalences between enriched diagram and Mackey functor categories
13. Applications to multicategories and permutative categories
Appendices: A. Categories
B. Enriched category theory
C. Multicategories
D. Open questions
Bibliography
Index.