∗-half completeness in quasi-uniform spaces
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| dc.contributor.author | Andrikopoulos, Athanasios
|
es_ES |
| dc.date.accessioned | 2017-09-06T11:40:52Z | |
| dc.date.available | 2017-09-06T11:40:52Z | |
| dc.date.issued | 2009-04-01 | |
| dc.identifier.issn | 1576-9402 | |
| dc.identifier.uri | http://hdl.handle.net/10251/86547 | |
| dc.description.abstract | [EN] Romaguera and Sánchez-Granero (2003) have introduced the notion of T1∗-half completion and used it to see when a quasi-uniform space has a ∗-compactification. In this paper, for any quasi-uniform space, we construct a ∗-half completion, called standard ∗-half completion. The constructed ∗-half completion coincides with the usual uniform completion in the uniform spaces and is the unique (up to quasi-isomorphism) T1 ∗-half completion of a symmetrizable quasi-uniform space. Moreover, it constitutes a ∗-compactification for ∗-Cauchy bounded quasi-uniform spaces. Finally, we give an example which shows that the standard ∗-half completion differs from the bicompletion construction. | 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 | Quasi-uniform | es_ES |
| dc.subject | ∗-half completion | es_ES |
| dc.subject | ∗-compactification | es_ES |
| dc.title | ∗-half completeness in quasi-uniform spaces | es_ES |
| dc.type | Artículo | es_ES |
| dc.date.updated | 2017-09-06T11:22:17Z | |
| dc.identifier.doi | 10.4995/agt.2009.1785 | |
| dc.rights.accessRights | Abierto | es_ES |
| dc.description.bibliographicCitation | Andrikopoulos, A. (2009). ∗-half completeness in quasi-uniform spaces. Applied General Topology. 10(1):29-37. https://doi.org/10.4995/agt.2009.1785 | es_ES |
| dc.description.accrualMethod | SWORD | es_ES |
| dc.relation.publisherversion | https://doi.org/10.4995/agt.2009.1785 | es_ES |
| dc.description.upvformatpinicio | 29 | es_ES |
| dc.description.upvformatpfin | 37 | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.description.volume | 10 | |
| dc.description.issue | 1 | |
| dc.identifier.eissn | 1989-4147 | |
| dc.description.references | Romaguera, S., & Sánchez-Granero, M. (2007). *-Compactifications of quasi-uniform spaces. Studia Scientiarum Mathematicarum Hungarica, 44(3), 307-316. doi:10.1556/sscmath.2007.1022 | es_ES |
| dc.relation.references | 10.1556/SScMath.2007.1022 | es_ES |
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