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On uniformly locally compact quasi-uniform hyperspaces
dc.contributor.author | Künzi, H. P. A | |
dc.contributor.author | Romaguera, S. | |
dc.contributor.author | Sánchez-Granero, M.A | |
dc.date.accessioned | 2017-06-16T08:26:11Z | |
dc.date.available | 2017-06-16T08:26:11Z | |
dc.date.issued | 2004 | |
dc.identifier.uri | http://hdl.handle.net/10835/4864 | |
dc.description.abstract | We 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.iso | en | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.source | The original publication is available at www.dml.cz | es_ES |
dc.title | On uniformly locally compact quasi-uniform hyperspaces | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherversion | http://www.dml.cz/handle/10338.dmlcz/127878 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |