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Homotopy Theory of Higher Categories
Buch von Carlos Simpson
Sprache: Englisch

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Beschreibung
Develops a full set of homotopical algebra techniques dedicated to the study of higher categories.
Develops a full set of homotopical algebra techniques dedicated to the study of higher categories.
Über den Autor
Carlos Simpson is Directeur de Recherche in the CNRS in Toulouse and Nice, France.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2011
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9780521516952
ISBN-10: 0521516951
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Simpson, Carlos
Hersteller: Cambridge University Press
Maße: 235 x 157 x 39 mm
Von/Mit: Carlos Simpson
Erscheinungsdatum: 20.10.2011
Gewicht: 1,085 kg
Artikel-ID: 107084495
Über den Autor
Carlos Simpson is Directeur de Recherche in the CNRS in Toulouse and Nice, France.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2011
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9780521516952
ISBN-10: 0521516951
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Simpson, Carlos
Hersteller: Cambridge University Press
Maße: 235 x 157 x 39 mm
Von/Mit: Carlos Simpson
Erscheinungsdatum: 20.10.2011
Gewicht: 1,085 kg
Artikel-ID: 107084495
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