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arXiv · 1207.6792

The homotopy category of N-complexes is a homotopy category

James Gillespie
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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.

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James Gillespie. 2012-07-29. The homotopy category of N-complexes is a homotopy category. https://arxiv.org/abs/1207.6792

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