Dear Colleagues, A preprint of my paper "Enriched factorization systems" is available at http://arxiv.org/abs/1401.0315 An abstract is included below. Your comments and questions are welcome. Regards, Rory Lucyshyn-Wright ________________________________________ Rory B. B. Lucyshyn-Wright NSERC Postdoctoral Fellow Department of Mathematics and Statistics University of Ottawa http://aix1.uottawa.ca/~rlucyshy/ ________________________________________ Abstract: In a paper of 1974, Brian Day employed a notion of factorization system in the context of enriched category theory, replacing the usual diagonal lifting property with a corresponding criterion phrased in terms of hom-objects. We set forth the basic theory of such enriched factorization systems. In particular, we establish stability properties for enriched prefactorization systems, we examine the relation of enriched to ordinary factorization systems, and we provide general results for obtaining enriched factorizations by means of wide (co)intersections. As a special case, we prove results on the existence of enriched factorization systems involving enriched strong monomorphisms or strong epimorphisms. [For admin and other information see: http://www.mta.ca/~cat-dist/ ]