Abstract

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).

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