* Preprint: Enriched factorization systems
@ 2014-01-04 20:16 Rory Lucyshyn-Wright
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From: Rory Lucyshyn-Wright @ 2014-01-04 20:16 UTC (permalink / raw)
To: categories
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.
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