Topological structuring of the digital plane
Topologická strukturace digitální roviny
Abstract
We 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. We 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.
Keywords
digital plane, quotient topology, Khalimsky topology, Jordan curve, digital plane, quotient topology, Khalimsky topology, Jordan curvePersistent identifier
http://hdl.handle.net/11012/69359Document type
Peer reviewedDocument version
Final PDFSource
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE. 2013, vol. 15, issue 2, p. 165-176.https://dmtcs.episciences.org/601
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- Ústav matematiky [57]
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