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On classes of T0 spaces admitting completions

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dc.contributor.author Giuli, Eraldo es_ES
dc.date.accessioned 2017-06-05T08:57:06Z
dc.date.available 2017-06-05T08:57:06Z
dc.date.issued 2003-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/82333
dc.description.abstract [EN] For a given class X of T0 spaces the existence of a subclass C, having the same properties that the class of complete metric spaces has in the class of all metric spaces and non-expansive maps, is investigated. A positive example is the class of all T0 spaces, with C the class of sober T0 spaces, and a negative example is the class of Tychonoff spaces. We prove that X has the previous property (i.e., admits completions) whenever it is the class of T0 spaces of an hereditary coreflective subcategory of a suitable supercategory of the category Top of topological spaces. Two classes of examples are provided. es_ES
dc.language Inglés es_ES
dc.publisher 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 Affine set es_ES
dc.subject T0 es_ES
dc.subject Sober and injective space es_ES
dc.subject Compact space es_ES
dc.subject Completion es_ES
dc.subject Zariski closure es_ES
dc.subject Topological category es_ES
dc.subject Coreflective subcategory es_ES
dc.title On classes of T0 spaces admitting completions es_ES
dc.type Artículo es_ES
dc.date.updated 2017-06-05T06:50:45Z
dc.identifier.doi 10.4995/agt.2003.2016
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Giuli, E. (2003). On classes of T0 spaces admitting completions. Applied General Topology. 4(1):143-155. https://doi.org/10.4995/agt.2003.2016 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2003.2016 es_ES
dc.description.upvformatpinicio 143 es_ES
dc.description.upvformatpfin 155 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 4
dc.description.issue 1
dc.identifier.eissn 1989-4147


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