EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 6 June 2010. For the current production of this journal, please refer to http://www.springer.com/mathematics/geometry/journal/40062.

Factorization, Fibration and Torsion

Factorization, Fibration and Torsion

Jiri Rosicky and Walter Tholen

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.

Journal of Homotopy and Related Structures, Vol. 2(2007), No. 2, pp. 295-314