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Condensations of Cp(X) onto σ-compact spaces

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Condensations of Cp(X) onto σ-compact spaces

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dc.contributor.author Tkachuk, Vladimir V. es_ES
dc.date.accessioned 2017-09-06T11:44:00Z
dc.date.available 2017-09-06T11:44:00Z
dc.date.issued 2009-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/86548
dc.description.abstract [EN] We show, in particular, that if nw(Nt) ≤ k for any t ϵ T and C is a dense subspace of the product ǁ{Nt : t 2 T} then, for any continuous (not necessarily surjective) map ϕ : C ͢ K of C into a compact space K with t(K) ≤ k, we have ψ(ϕ (C)) ≤ k. This result has several applications in Cp-theory. We prove, among other things, that if K is a non-metrizable Corson compact space then Cp(K) cannot be condensed onto a σ-compact space. This answers two questions published by Arhangel’skii and Pavlov. es_ES
dc.description.sponsorship Research supported by Consejo Nacional de Ciencia y Tecnolog´ıa (CONACYT) de M´exico, grant 400200-5-38164-E
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 Condensation es_ES
dc.subject Continuous image es_ES
dc.subject Lindelöf Σ-space es_ES
dc.subject σ –compact space es_ES
dc.subject Topology of pointwise convergence es_ES
dc.subject Network weight es_ES
dc.subject Tightness es_ES
dc.subject Lindelöf space es_ES
dc.title Condensations of Cp(X) onto σ-compact spaces es_ES
dc.type Artículo es_ES
dc.date.updated 2017-09-06T11:22:34Z
dc.identifier.doi 10.4995/agt.2009.1786
dc.relation.projectID info:eu-repo/grantAgreement/CONACyT//400200-5-38164-E/
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Tkachuk, VV. (2009). Condensations of Cp(X) onto σ-compact spaces. Applied General Topology. 10(1):39-48. https://doi.org/10.4995/agt.2009.1786 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2009.1786 es_ES
dc.description.upvformatpinicio 39 es_ES
dc.description.upvformatpfin 48 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.contributor.funder Consejo Nacional de Ciencia y Tecnología, México


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