English

Factorization, Fibration and Torsion

Algebraic Topology 2008-01-03 v1

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.

Keywords

Cite

@article{arxiv.0801.0063,
  title  = {Factorization, Fibration and Torsion},
  author = {Jiri Rosicky and Walter Tholen},
  journal= {arXiv preprint arXiv:0801.0063},
  year   = {2008}
}

Comments

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

R2 v1 2026-06-21T09:58:17.375Z