Reflections in topological algebraic structures
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Títol
Reflections in topological algebraic structuresData de publicació
2020-08Editor
ElsevierISSN
0166-8641Cita bibliogràfica
HERNÁNDEZ-ARZUSA, Julio; HERNÁNDEZ, Salvador. Reflections in topological algebraic structures. Topology and its Applications, 2020, vol. 281, p. 107204.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://www.sciencedirect.com/science/article/abs/pii/S0166864120301474?via%3DihubVersió
info:eu-repo/semantics/submittedVersionParaules clau / Matèries
Resum
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 [-]
Publicat a
Topology and its Applications, 2020, vol. 281Entitat finançadora
Ministerio de Economía y Competitividad
Codi del projecte o subvenció
MTM-2016-77143-P
Drets d'accés
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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