On Cofibrations of Permutative categories
Amit Sharma
TL;DR
This paper introduces the concept of free cofibrations in permutative categories and demonstrates that every cofibration is a retract of such free cofibrations, advancing the understanding of their structure.
Contribution
It defines free cofibrations in permutative categories and proves that all cofibrations are retracts of these free cofibrations, providing new structural insights.
Findings
Every cofibration is a retract of a free cofibration.
Introduces the notion of free cofibrations in permutative categories.
Establishes structural properties of cofibrations in this context.
Abstract
In this note 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.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra