Corpus ID: 15231128

ENRICHED FACTORIZATION SYSTEMS

@article{LucyshynWright2014ENRICHEDFS,
  title={ENRICHED FACTORIZATION SYSTEMS},
  author={R. B. Lucyshyn-Wright},
  journal={arXiv: Category Theory},
  year={2014}
}
  • R. B. Lucyshyn-Wright
  • Published 2014
  • Mathematics
  • arXiv: Category Theory
  • 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… CONTINUE READING
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