Extensions in bounded topology

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dc.contributor.authorLeseberg, Dieter
dc.coverage.issue2cs
dc.coverage.volume3cs
dc.date.accessioned2015-01-09T09:38:00Z
dc.date.available2015-01-09T09:38:00Z
dc.date.issued2014cs
dc.description.abstractIn a series of papers, Leseberg has studied and examined several fundamental aspects of generalized nearness in the realm of bounded topology. This paper deals with an alternate, detailed description of so-called bounded nearness and bounded topology by certain subdensity spaces and related maps. This type of spaces contains, in particular, b-near spaces as well as b-topological spaces in a nice fashion. Moreover, we found a one-to-one correspondence between suitable subdensity spaces and the related strict topological extensions. We point out that this newly established connection generalize the extensions which were studied by Bentley, Hušek, Ivanova, Ivanov, Lodato and Smirnov.en
dc.formattextcs
dc.format.extent97-113cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMathematics for Applications. 2014, 3, č. 2, s. 97-113. ISSN 1805-3629.cs
dc.identifier.doi10.13164/ma.2014.08en
dc.identifier.issn1805-3629
dc.identifier.urihttp://hdl.handle.net/11012/36714
dc.language.isoencs
dc.publisherVysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.relation.ispartofMathematics for Applicationsen
dc.relation.urihttp://ma.fme.vutbr.cz/archiv/3_2/ma_3_2_leseberg.pdfcs
dc.rights© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.rights.accessopenAccessen
dc.titleExtensions in bounded topologyen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.departmentÚstav matematikycs
eprints.affiliatedInstitution.facultyFakulta strojního inženýrstvícs
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