The Cauchy completion of a symmetric b-uniform filter space

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dc.contributor.authorLeseberg, Dieter
dc.contributor.authorVaziry, Zohreh
dc.coverage.issue2cs
dc.coverage.volume10cs
dc.date.accessioned2022-02-21T12:10:30Z
dc.date.available2022-02-21T12:10:30Z
dc.date.issued2021cs
dc.description.abstractb-uniform filter spaces are an appropriate tool for studying convergence from a higher point of view as demonstrated in two papers by the above mentioned authors. Fundamental properties of spaces in topology such as completeness, precompactness or compactness, respectively, can be newly defined and studied in the realm of these proper constructs. Moreover, we present a kind of completion, called Cauchy completion, which generalizes the corresponding concepts that arose in the past like the simple completion of semi-uniform convergence spaces in the sense of [10], the Wyler completion of separated uniform limit spaces [15], the Hausdorff completion of separated uniform spaces or the λ-completion of filter spaces in the sense of [2], and, last not least, the compactification of proximity spaces ([4], or [12], respectively).en
dc.formattextcs
dc.format.extent125-142cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMathematics for Applications. 2021 vol. 10, č. 2, s. 125-142. ISSN 1805-3629cs
dc.identifier.doi10.13164/ma.2021.11en
dc.identifier.issn1805-3629
dc.identifier.urihttp://hdl.handle.net/11012/203931
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/10_2/ma_10_2_leseberg_vaziry_final.pdfcs
dc.rights© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.rights.accessopenAccessen
dc.subjectsymmetric b-uniform filter space
dc.subjectb-filter space
dc.subjectcompleteness
dc.subjectCauchy completion
dc.subjectstrong topological universe
dc.subjectBounded topology
dc.subjectset-convergence
dc.subjectseparation property
dc.titleThe Cauchy completion of a symmetric b-uniform filter spaceen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.departmentÚstav matematikycs
eprints.affiliatedInstitution.facultyFakulta strojního inženýrstvícs
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