A model structure on categories related to categories of complexes
Volodymyr Lyubashenko
TL;DR
This paper establishes a model structure on a category related to differential graded modules, extending Hinich's theorem to new categorical contexts involving complexes.
Contribution
It introduces a new model structure on a category connected via an adjunction to differential graded modules, expanding the applicability of Hinich's theorem.
Findings
Proved the existence of a model structure in a new categorical setting
Extended Hinich's theorem to categories related to complexes
Provided foundational results for homotopical algebra in complex-related categories
Abstract
We prove a theorem of Hinich type on existence of a model structure on a category related by an adjunction to the category of differential graded modules over a graded commutative ring.
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