Topological structuring of the digital plane

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Authors

Šlapal, Josef

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Referee

Mark

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DMTCS

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.

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DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE. 2013, vol. 15, issue 2, p. 165-176.
https://dmtcs.episciences.org/601

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Peer-reviewed

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en

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Defence

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Except where otherwised noted, this item's license is described as Creative Commons Attribution 4.0 International
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