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dc.contributor.authorKünzi, H. P. A
dc.contributor.authorRomaguera, S.
dc.contributor.authorSánchez-Granero, M.A
dc.date.accessioned2017-06-16T08:26:11Z
dc.date.available2017-06-16T08:26:11Z
dc.date.issued2004
dc.identifier.urihttp://hdl.handle.net/10835/4864
dc.description.abstractWe characterize those Tychonoff quasi-uniform spaces (X, U) for which the Hausdorff-Bourbaki quasi-uniformity is uniformly locally compact on the family K0(X) of nonempty compact subsets of X. We deduce, among other results, that the Hausdorff-Bourbaki quasi-uniformity of the locally finite quasi-uniformity of a Tychonoff space X is uniformly locally compact on K0(X) if and only if X is paracompact and locally compact. We also introduce the notion of a co-uniformly locally compact quasi-uniform space and show that a Hausdorff topological space is σ-compact if and only if its (lower) semicontinuous quasi-uniformity is co-uniformly locally compact. A characterization of those Hausdorff quasi-uniform spaces (X, U) for which the Hausdorff-Bourbaki quasi-uniformity is co-uniformly locally compact on K0(X) is obtained.es_ES
dc.language.isoenes_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.sourceThe original publication is available at www.dml.czes_ES
dc.titleOn uniformly locally compact quasi-uniform hyperspaceses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherversionhttp://www.dml.cz/handle/10338.dmlcz/127878es_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
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