Articles with "model category" as a keyword



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Projective and Reedy Model Category Structures for (Infinitesimal) Bimodules over an Operad

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Published in 2022 at "Applied Categorical Structures"

DOI: 10.1007/s10485-022-09675-z

Abstract: We construct and study projective and Reedy model category structures for bimodules and infinitesimal bimodules over topological operads. Both model structures produce the same homotopy categories. For the model categories in question, we build explicit… read more here.

Keywords: infinitesimal bimodules; category structures; model category; model ... See more keywords
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On the Left Properness of the Model Category of Permutative Categories

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Published in 2023 at "Axioms"

DOI: 10.3390/axioms12010087

Abstract: In this paper, we introduce a notion of free cofibrations of permutative categories. We show that each cofibration of permutative categories is a retract of a free cofibration. The main goal of this paper is… read more here.

Keywords: category permutative; permutative categories; categories left; model category ... See more keywords