paper

The homotopy category of N-complexes is a homotopy category

arXiv:1207.6792

Abstract

We show that the category of N-complexes has a Str\om model structure, meaning the weak equivalences are the chain homotopy equivalences. This generalizes the analogous result for the category of chain complexes (N = 2). The trivial objects in the model structure are the contractible N-complexes which we necessarily study and derive several results.

12 pages

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