Factorization, Fibration and Torsion

Abstract

A simple definition of torsion theory is presented, as a factorization system with both classes satisfying the 3--for--2 property. Comparisons with the traditional notion are given, as well as connections with the notions of fibration and of weak factorization system, as used in abstract homotopy theory.

To be published in "Journal of homotopy and Related Structures"

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• Conditional flatness, fiberwise localizations, and admissible reflections
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