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R-spaces and closedness/completeness of certain function spaces in the topology of uniform convergence

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R-spaces and closedness/completeness of certain function spaces in the topology of uniform convergence

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dc.contributor.author Kohli, J. K. es_ES
dc.contributor.author Singh, Davinder es_ES
dc.date.accessioned 2014-10-27T16:52:54Z
dc.date.available 2014-10-27T16:52:54Z
dc.date.issued 2014-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/43617
dc.description.abstract [EN] It is shown that the notion of an − cl R space (Demonstratio Math. 46(1) (2013), 229-244) fits well as a separation axiom between zero dimensionality and − 0 R spaces. Basic properties of − cl R spaces are studied and their place in the hierarchy of separation axioms that already exist in the literature is elaborated. The category of − cl R spaces and continuous maps constitutes a full isomorphism closed, monoreflective (epireflective) subcategory of TOP. The function space cl R (X, Y) of all − cl R supercontinuous functions from a space X into a uniform space Y is shown to be closed in the topology of uniform convergence. This strengthens and extends certain results in the literature (Demonstratio Math. 45(4) (2012), 947-952). es_ES
dc.language Inglés es_ES
dc.publisher Editorial Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject R space es_ES
dc.subject Ultra Hausdorff space es_ES
dc.subject Initial property es_ES
dc.subject Monoreflective (epireflective) subcategory es_ES
dc.subject R_cl-supercontinuous function es_ES
dc.subject Topology of uniform convergence es_ES
dc.title R-spaces and closedness/completeness of certain function spaces in the topology of uniform convergence es_ES
dc.type Artículo es_ES
dc.date.updated 2014-10-27T16:50:08Z
dc.identifier.doi 10.4995/agt.2014.3029
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Kohli, JK.; Singh, D. (2014). R-spaces and closedness/completeness of certain function spaces in the topology of uniform convergence. Applied General Topology. 15(2):155-166. https://doi.org/10.4995/agt.2014.3029 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2014.3029 es_ES
dc.description.upvformatpinicio 155 es_ES
dc.description.upvformatpfin 166 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 15
dc.description.issue 2
dc.identifier.eissn 1989-4147
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