Closed model category structures on the category of chain functors

被引：2
作者：
Bauer, FW
Datuashvili, T
机构：
[1] Goethe Univ Frankfurt, Fachbereich Math, D-60054 Frankfurt, Germany
[2] Georgian Acad Sci, A Razmadze Math Inst, GE-380093 Tbilisi, Georgia
来源：
TOPOLOGY AND ITS APPLICATIONS | 2003年 / 131卷 / 02期
关键词：
chain functors; Kan- and Hurewicz-fibrations; cofibrations;
D O I：
10.1016/S0166-8641(02)00295-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the category ch of chain functors one can introduce fibrations (Section 3), cofibrations and weak equivalences (Section 4), satisfying all the properties of a closed model category as defined by D. Quillen except for the existence of finite limits and colimits. Nevertheless we show that there exists a canonically defined suspension-as well as a loop functor, which are invertible, turning the homotopy category ch(h) into a stable category (Section 8). (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：101 / 128
页数：28
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