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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