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When a totally bounded group topology is the Bohr topology of a LCA group

dc.contributor.authorHernández, Salvador
dc.contributor.authorTrigos, Javier
dc.date.accessioned2019-05-10T18:51:30Z
dc.date.available2019-05-10T18:51:30Z
dc.date.issued2019-06-01
dc.identifier.citationHERNÁNDEZ, Salvador; TRIGOS-ARRIETA, F. Javier. When a totally bounded group topology is the Bohr topology of a LCA group. Topology and its Applications, 2019ca_CA
dc.identifier.issn0166-8641
dc.identifier.issn1879-3207
dc.identifier.urihttp://hdl.handle.net/10234/182459
dc.description.abstractWe look at the Bohr topology of maximally almost periodic groups (MAP, for short). Among other results, we investigate when a Hausdorff precompact abelian group (G; w) is the Bohr re ection of a locally compact abelian group. Necessary and sufficient conditions are established in terms of the inner properties of w. As an application, an example of a MAP group (G; t) is given such that every closed, metrizable subgroup N of bG with N \ G = f0g preserves compactness but (G; t) does not strongly respect compactness. Thereby, we respond to Questions 4.1 and 4.3 in [6].ca_CA
dc.format.extent11 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherElsevierca_CA
dc.relation.isPartOfTopology and its Applications, 2019ca_CA
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectabelian groupca_CA
dc.subjectweak topologiesca_CA
dc.subjectWeil completionca_CA
dc.subjectBohr compactificationca_CA
dc.subjectlocally compact groupca_CA
dc.subjectmaximally almost periodic groupca_CA
dc.subjecthemicompactnessca_CA
dc.titleWhen a totally bounded group topology is the Bohr topology of a LCA groupca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1016/j.topol.2019.02.025
dc.relation.projectIDThe first listed author acknowledges partially support by the Spanish Ministerio de Economía y Competitividad, grant MTM2016-77143-P (AEI/FEDER, EU), and the Universitat Jaume I, grant P1171B2015-77.ca_CA
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttps://www.sciencedirect.com/science/article/pii/S0166864119300434ca_CA
dc.type.versioninfo:eu-repo/semantics/acceptedVersionca_CA


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