Carlos Simpson

Homotopy Theory of Higher Categories

• Gebundenes Buch

Produktbeschreibung

Develops a full set of homotopical algebra techniques dedicated to the study of higher categories.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 654
• Erscheinungstermin: 20. Oktober 2011
• Englisch
• Abmessung: 235mm x 157mm x 39mm
• Gewicht: 1083g
• ISBN-13: 9780521516952
• ISBN-10: 0521516951
• Artikelnr.: 33157821

Autorenporträt

Carlos Simpson is Directeur de Recherche in the CNRS in Toulouse and Nice, France.

Inhaltsangabe

Prologue
Acknowledgements
Part I. Higher Categories: 1. History and motivation
2. Strict n-categories
3. Fundamental elements of n-categories
4. The need for weak composition
5. Simplicial approaches
6. Operadic approaches
7. Weak enrichment over a Cartesian model category: an introduction
Part II. Categorical Preliminaries: 8. Some category theory
9. Model categories
10. Cartesian model categories
11. Direct left Bousfield localization
Part III. Generators and Relations: 12. Precategories
13. Algebraic theories in model categories
14. Weak equivalences
15. Cofibrations
16. Calculus of generators and relations
17. Generators and relations for Segal categories
Part IV. The Model Structure: 18. Sequentially free precategories
19. Products
20. Intervals
21. The model category of M-enriched precategories
22. Iterated higher categories
Part V. Higher Category Theory: 23. Higher categorical techniques
24. Limits of weak enriched categories
25. Stabilization
Epilogue
References
Index.