On Regular Closure Operators and Cowellpowered Subcategories

dc.creatorGautam, Vishvajit V. S.
dc.date2002-06-12
dc.date2002-08-13
dc.date.accessioned2026-07-07T04:49:05Z
dc.date.available2026-07-07T04:49:05Z
dc.descriptionMany Properties of a category X, as for instance the existence of an adjoint or a factorization system, are a consequence of the cowellpoweredness of X. In the absence of cowellpoweredness, for general results, fairly strong assumption on the category are needed. This paper provides a number of novel and useful observations to tackle the cowellpoweredness problem of subcategories by means of regular closure operators. Our exposition focusses on the question when two subcategories A and B induce the same regular closure operators, then information about (non)-cowellpoweredness of A may be gained from corresponding property of B, and vice versa.
dc.description16 pages, LaTex, 11pt ps.file, Corrected and revised version. Submitted to : Comment. Math. Univ. Carolinae
dc.identifierhttps://arxiv.org/abs/math/0206124
dc.identifierhttp://arxiv.org/abs/math/0206124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64289
dc.subjectCategory Theory
dc.subject18A20, 18A30, 18A32
dc.titleOn Regular Closure Operators and Cowellpowered Subcategories
dc.typetext

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