Simplicial and Dendroidal Homotopy Theory
Heuts, Gijs, Moerdijk, Ieke
- 出版商: Springer
- 出版日期: 2022-08-03
- 售價: $2,660
- 貴賓價: 9.5 折 $2,527
- 語言: 英文
- 頁數: 634
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031104463
- ISBN-13: 9783031104466
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商品描述
Part I The Elementary Theory of Simplicial and Dendroidal Sets.- 1 Operads.- 2 Simplicial Sets.- 3 Dendroidal Sets.- 4 Tensor Products of Dendroidal Sets.- 5 Kan Conditions for Simplicial Sets.- 6 Kan Conditions for Dendroidal Sets.- Part II The Homotopy Theory of Simplicial and Dendroidal Sets.- 7 Model Categories.- 8 Model Structures on the Category of Simplicial Sets.- 9 Three Model Structures on the Category of Dendroidal Sets.- Part III The Homotopy Theory of Simplicial and Dendroidal Spaces.- 10 Reedy Categories and Diagrams of Spaces.- 11 Mapping Spaces and Bousfield Localizations.- 12 Dendroidal Spaces and ∞-Operads.- 13 Left Fibrations and the Covariant Model Structure.- 14 Simplicial Operads and ∞-Operads.- Epilogue.- References.- Index.