Aspects of RG-spaces
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| dc.contributor.author | Abohalfya, F.
|
es_ES |
| dc.contributor.author | Raphael, R.
|
es_ES |
| dc.date.accessioned | 2017-09-13T09:16:07Z | |
| dc.date.available | 2017-09-13T09:16:07Z | |
| dc.date.issued | 2012-04-01 | |
| dc.identifier.issn | 1576-9402 | |
| dc.identifier.uri | http://hdl.handle.net/10251/87184 | |
| dc.description.abstract | [EN] A Tychonoff space X which satisfies the property that G(X) = C(Xδ) is called an RG-space, where G(X) is the minimal regular ring extension of C(X) inside F(X), the ring of all functions from X to R, and Xδ is the topology on X generated by its Gδ-sets. We correct an error tha twe found in the proof of and show that RG-spaces must satisfy a finite dimensional condition. We also introduce a new class of topological spaces which we call almost k-Baire spaces. The class of almost Baire spaces is a particular instance. We show that every RG-space is an almost Baire space but not necessarily a Baire space. However RG-spaces of countable pseudocharacter must be Baire and, furthermore, their dense sets have dense interiors. | es_ES |
| dc.description.sponsorship | Supported by the Cultural Section of the Libyan Embassy in Canada. Supported by the NSERC of Canada. | |
| 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 | Almost Baire spaces | es_ES |
| dc.subject | RG-spaces | es_ES |
| dc.subject | Blumberg spaces | es_ES |
| dc.subject | Almost resolvable spaces | es_ES |
| dc.subject | Spaces of countable pseudocharacter | es_ES |
| dc.subject | Prime zideal | es_ES |
| dc.subject | P-space | es_ES |
| dc.subject | Almost-P space | es_ES |
| dc.title | Aspects of RG-spaces | es_ES |
| dc.type | Artículo | es_ES |
| dc.date.updated | 2017-09-13T08:48:23Z | |
| dc.identifier.doi | 10.4995/agt.2012.1637 | |
| dc.rights.accessRights | Abierto | es_ES |
| dc.description.bibliographicCitation | Abohalfya, F.; Raphael, R. (2012). Aspects of RG-spaces. Applied General Topology. 13(1):39-49. https://doi.org/10.4995/agt.2012.1637 | es_ES |
| dc.description.accrualMethod | SWORD | es_ES |
| dc.relation.publisherversion | https://doi.org/10.4995/agt.2012.1637 | es_ES |
| dc.description.upvformatpinicio | 39 | es_ES |
| dc.description.upvformatpfin | 49 | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.description.volume | 13 | |
| dc.description.issue | 1 | |
| dc.identifier.eissn | 1989-4147 | |
| dc.contributor.funder | Natural Sciences and Engineering Research Council of Canada | |
| dc.contributor.funder | Libyan Embassy, Canadá |
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