The homotopy category of N-complexes is a homotopy category

2012/07/29 by James Gillespie, Gillespie, James · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Sphingolipid Metabolism and Signaling

paper · pdf · doi:10.48550/arxiv.1207.6792

openalex publication_date 2012/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• Homologically optimal categories of sequences lead to N-complexes

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