Reflections in topological algebraic structures
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Reflections in topological algebraic structuresDate
2020-08Publisher
ElsevierISSN
0166-8641Bibliographic citation
HERNÁNDEZ-ARZUSA, Julio; HERNÁNDEZ, Salvador. Reflections in topological algebraic structures. Topology and its Applications, 2020, vol. 281, p. 107204.Type
info:eu-repo/semantics/articlePublisher version
https://www.sciencedirect.com/science/article/abs/pii/S0166864120301474?via%3DihubVersion
info:eu-repo/semantics/submittedVersionAbstract
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 [-]
Is part of
Topology and its Applications, 2020, vol. 281Funder Name
Ministerio de Economía y Competitividad
Project code
MTM-2016-77143-P
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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