Factorization, Fibration and Torsion

Details Factorization, Fibration and Torsion Factorization, Fibration and Torsion

2007-12-29

arxiv.org/abs/0801.0063v1

Mathematics

Algebraic Topology

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

Scientific paper

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.

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