On the Left Properness of the Model Category of Permutative Categories
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 to show that the natural model category of permutative categories is a left proper model cat...
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2023-01-01
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Series: | Axioms |
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Online Access: | https://www.mdpi.com/2075-1680/12/1/87 |
Summary: | 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 to show that the natural model category of permutative categories is a left proper model category. |
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ISSN: | 2075-1680 |