Closed model category structures on the category of chain functors

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• 作者：Bauer ; Friedrich W. ; Datuashvili ; Tamar
• 关键词：18C35 ; 55U15 ; 55U40 ; 55U35 ; Chain functors ; Kan- and Hurewicz-fibrations ; Cofibrations
• 刊名：Topology and its Applications
• 出版年：2003
• 出版时间：June 15, 2003
• 年：2003
• 卷：131
• 期：2
• 页码：101-128
• 全文大小：232 K

文摘

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).