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On RG-spaces and the regularity degree

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On RG-spaces and the regularity degree

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dc.contributor.author Raphael, R. es_ES
dc.contributor.author Woods, R.G. es_ES
dc.date.accessioned 2017-06-16T09:12:36Z
dc.date.available 2017-06-16T09:12:36Z
dc.date.issued 2006-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/82956
dc.description.abstract [EN] We continue the study of a lattice-ordered ring G(X), associated with the ring C(X). Following, X is called RG when G(X) = C(Xδ). An RG-space must have a dense set of very weak P-points. It must have a dense set of almost-P-points if Xδ is Lindelöf, or if the continuum hypothesis holds and C(X) has small cardinality. Spaces which are RG must have finite Krull dimension when taken with respect to the prime z-ideals of C(X). There is a notion of regularity degree defined via the functions in G(X). Pseudocompact spaces and metric spaces of finite regularity degree are characterized. es_ES
dc.description.sponsorship 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 P-space es_ES
dc.subject Almost-P space es_ES
dc.subject Prime z-ideal es_ES
dc.subject RG-space es_ES
dc.subject Very weak P-point es_ES
dc.title On RG-spaces and the regularity degree es_ES
dc.type Artículo es_ES
dc.date.updated 2017-06-16T08:47:28Z
dc.identifier.doi 10.4995/agt.2006.1934
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Raphael, R.; Woods, R. (2006). On RG-spaces and the regularity degree. Applied General Topology. 7(1):73-101. https://doi.org/10.4995/agt.2006.1934 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2006.1934 es_ES
dc.description.upvformatpinicio 73 es_ES
dc.description.upvformatpfin 101 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 7
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.contributor.funder Natural Sciences and Engineering Research Council of Canada


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