• Corpus ID: 16833517

Several constructions for factorization systems.

  title={Several constructions for factorization systems.},
  author={Dali Zangurashvili},
The paper develops the previously proposed approach to constructing fac- torization systems in general categories. This approach is applied to the problem of find- ing conditions under which a functor (not necessarily admitting a right adjoint) "reflects" factorization systems. In particular, a generalization of the well-known Cassidy-Hebert- Kelly factorization theorem is given. The problem of relating a factorization system to a pointed endofunctor is considered. Some relevant examples in… 
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