单纯同伦理论 英文影印版 作者:格兹,JohnF.Jardine 著 出版时间:2014年版 内容简介 Many of the original research and survey monographs ln pure and applied mathematics published by Birkh iuser in recent decades have been groundbreaking and have come to be regarded as found。 ational to the SUbject.Through the MBC Series,a select number ofthese modern classics,entirely uncorrected,are being released in paperback Iand as eBooks)to ensure that these treasures remainaccessible to new generations of students,scholars,and reseat-chers。 目录 Chapter l Simplicial sets
1.Basic definitions
2.Realization
3.Kan complexes
4.Anodyne extensions
5.Function complexes
6.Simplicial homotopy
7.Simplicial homotopy groups
8.Fundamental groupoid
9.Categories of fibrant objects
10.Minimal fibrations
11.The closed model structure
Chapter II Model Categories
1.Homotopical algebra
2.Simplicial categories
3.Simplicial model categories
4.The existence of simplicial model category structures