Reflections in topological algebraic structures
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadatos
Título
Reflections in topological algebraic structuresFecha de publicación
2020-08Editor
ElsevierISSN
0166-8641Cita bibliográfica
HERNÁNDEZ-ARZUSA, Julio; HERNÁNDEZ, Salvador. Reflections in topological algebraic structures. Topology and its Applications, 2020, vol. 281, p. 107204.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/science/article/abs/pii/S0166864120301474?via%3DihubVersión
info:eu-repo/semantics/submittedVersionPalabras clave / Materias
Resumen
Let C be an epireflective subcategory of Top and let rC be the epireflective functor associated with C. If A denotes a (semi)topological algebraic subcategory
of Top, we study when rC (A) is an epireflective subcategory ... [+]
Let C be an epireflective subcategory of Top and let rC be the epireflective functor associated with C. If A denotes a (semi)topological algebraic subcategory
of Top, we study when rC (A) is an epireflective subcategory of A. We prove that
this is always the case for semi-topological structures and we find some sufficient
conditions for topological algebraic structures. We also study when the epireflective
functor preserves products, subspaces and other properties. In particular, we solve
an open question about the coincidence of epireflections proposed by Echi and Lazaar
in [6, Question 1.6] and repeated in [7, Question 1.9]. Finally, we apply our results
in different specific topological algebraic structures [-]
Publicado en
Topology and its Applications, 2020, vol. 281Entidad financiadora
Ministerio de Economía y Competitividad
Código del proyecto o subvención
MTM-2016-77143-P
Derechos de acceso
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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