Carlos Simpson
Homotopy Theory of Higher Categories
Carlos Simpson
Homotopy Theory of Higher Categories
- Gebundenes Buch
- Merkliste
- Auf die Merkliste
- Bewerten Bewerten
- Teilen
- Produkt teilen
- Produkterinnerung
- Produkterinnerung
Develops a full set of homotopical algebra techniques dedicated to the study of higher categories.
Andere Kunden interessierten sich auch für
- Towards Higher Categories74,99 €
- Towards Higher Categories74,99 €
- Andy R. MagidModule Categories of Analytic Groups40,99 €
- Simona PaoliSimplicial Methods for Higher Categories103,99 €
- R. BautistaDifferential Tensor Algebras and their Module Categories74,99 €
- Nicolae PopescuTheory of categories39,99 €
- Jürg FröhlichQuantum Groups, Quantum Categories and Quantum Field Theory40,99 €
-
-
-
Develops a full set of homotopical algebra techniques dedicated to the study of higher categories.
Produktdetails
- Produktdetails
- Verlag: Cambridge University Press
- Seitenzahl: 654
- Erscheinungstermin: 20. Oktober 2011
- Englisch
- Abmessung: 235mm x 157mm x 39mm
- Gewicht: 1085g
- ISBN-13: 9780521516952
- ISBN-10: 0521516951
- Artikelnr.: 33157821
- Verlag: Cambridge University Press
- Seitenzahl: 654
- Erscheinungstermin: 20. Oktober 2011
- Englisch
- Abmessung: 235mm x 157mm x 39mm
- Gewicht: 1085g
- ISBN-13: 9780521516952
- ISBN-10: 0521516951
- Artikelnr.: 33157821
Carlos Simpson is Directeur de Recherche in the CNRS in Toulouse and Nice, France.
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.
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.
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.
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.