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Discrete Mathematics & Theoretical Computer Science
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Topological structuring of the digital plane

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2013 Czech Republic English Publisher:Centre pour la Communication Scientifique Directe (CCSD)Journal:Discrete Mathematics & Theoretical Computer Science, volume Vol. 15 no. 2 (eissn: 1365-8050, Copyright policy )
Authors: Šlapal, Josef;

doi: 10.46298/dmtcs.601

handle: 11012/69359

Topological structuring of the digital plane

Abstract

Combinatorics We discuss an Alexandroff topology on ℤ2 having the property that its quotient topologies include the Khalimsky and Marcus-Wyse topologies. We introduce a further quotient topology and prove a Jordan curve theorem for it.

Country
Czech Republic
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Keywords

Khalimsky topology, digital plane, [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], quotient topology, Jordan curve, [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
Published in a Diamond OA journal