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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2007
- DOI:
- 10.48550/arXiv.0801.0063
- arXiv:
- arXiv:0801.0063
- Bibcode:
- 2008arXiv0801.0063R
- Keywords:
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- Mathematics - Algebraic Topology
- E-Print:
- To be published in "Journal of homotopy and Related Structures"