Topological structuring of the digital plane
Topologická strukturace digitální roviny
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Date
2013-08-01Alternative metrics PlumX
http://hdl.handle.net/11012/69359Metadata
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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 reviewedSource
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE. 2013, vol. 15, issue 2, p. 165-176.https://dmtcs.episciences.org/601
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