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  1. Home > Articles & Issues >
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  3. Topological structur ...
Article

Topological structuring of the digital plane

Josef Šlapal (1)
(1) Institute of Mathematics of the Czech Academy of Science
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Imported on
October 23, 2011
Published on
July 31, 2013
Last modified on
March 31, 2025
Volume 15
vol. 15:2
Combinatorics
DOI
10.46298/dmtcs.601
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https://about.hal.science/hal-authorisation-v1
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Topological structuring of the digital plane

Josef Šlapal (1)
(1) Institute of Mathematics of the Czech Academy of Science
Abstract
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.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
Cited by

Source: OpenCitations

  • Connected Components in Bipolar Fuzzy Digital Plane

    Advances in Pure Mathematics

    Authors : Stephen Macharia Gathigi, Moses Nderitu Gichuki ORCID, Kewamoi Chesire Sogomo

    Journal reference : Volume 14, 2024, pp. 546-555

    DOI : 10.4236/apm.2024.147031
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