Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.19/2896
Título: On the pullback stability of a quotient map with respect to a closure operator
Autor: Sousa, Lurdes
Palavras-chave: closure operator
quotient
pullback
closed morphism
open morphism
final morphism
Data: 2001
Relatório da Série N.º: 6;
Resumo: There are well-known characterizations of hereditary quotient maps in the category of topological spaces, (that is, of quotient maps stable under pullback along embeddings), as well as of universal quotient maps (that is, of quotient maps stable under pullback). These are precisely the so-called pseudo-open maps, as shown by Arhangel'slii, and the bi-quotient maps of Michael, as shown by Day and Kelly, respectively. In this paper hereditary and stable quotient maps are characterized in the broader context given by a category eqquipped with a closure operator. To this end, we derive explicit formulae and conditions for the closure in the codomain of such a quotient map in terms of the closure in its domain.
Peer review: yes
URI: http://hdl.handle.net/10400.19/2896
ISSN: 1201-561X
Versão do Editor: http://www.tac.mta.ca/tac/
Aparece nas colecções:ESTGV - DMAT - Artigos publicados em revista científica

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