Year: 2004
Type: article
Abstract: The paper develops the previously proposed approach to constructing factorization systems in general categories.This approach is applied to the problem of finding conditions under which a functor (not necessarily admitting a right adjoint) "reflects" factorization systems.In particular, a generalization of the well-known Cassidy-Hébert-Kelly factorization theorem is given.The problem of relating a factorization system to a pointed endofunctor is considered.Some relevant examples in concrete categories are given.
Author: Dali Zangurashvili
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2161602016