Topological structuring of the digital plane

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dc.contributor.authorŠlapal, Josefcs
dc.coverage.issue2cs
dc.coverage.volume15cs
dc.date.accessioned2019-04-03T03:54:33Z
dc.date.available2019-04-03T03:54:33Z
dc.date.issued2013-08-01cs
dc.description.abstractWe discuss an Alexandroff topology on the digital plane having the property that its quotient topologies include the Khalimsky and Marcus-Wyse topologies. We introduce a further quotient topology of the topology discussed and prove a Jordan curve theorem for it.en
dc.description.abstractWe discuss an Alexandroff topology on the digital plane having the property that its quotient topologies include the Khalimsky and Marcus-Wyse topologies. We introduce a further quotient topology of the topology discussed and prove a Jordan curve theorem for it.cs
dc.formattextcs
dc.format.extent165-176cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationDISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE. 2013, vol. 15, issue 2, p. 165-176.en
dc.identifier.issn1365-8050cs
dc.identifier.other76021cs
dc.identifier.urihttp://hdl.handle.net/11012/69359
dc.language.isoencs
dc.publisherDMTCScs
dc.relation.ispartofDISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCEcs
dc.relation.urihttps://dmtcs.episciences.org/601cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1365-8050/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectdigital planeen
dc.subjectquotient topologyen
dc.subjectKhalimsky topologyen
dc.subjectJordan curveen
dc.subjectdigital plane
dc.subjectquotient topology
dc.subjectKhalimsky topology
dc.subjectJordan curve
dc.titleTopological structuring of the digital planeen
dc.title.alternativeTopologická strukturace digitální rovinycs
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-76021en
sync.item.dbtypeVAVen
sync.item.insts2020.03.31 00:59:13en
sync.item.modts2020.03.30 22:58:52en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
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