Josef Šlapal - Topological structuring of the digital plane

dmtcs:601 - Discrete Mathematics & Theoretical Computer Science, August 1, 2013, Vol. 15 no. 2 - https://doi.org/10.46298/dmtcs.601
Topological structuring of the digital plane

Authors: Josef Šlapal 1

  • 1 Institute of Mathematics of the Czech Academy of Science

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.

https://doi.org/10.46298/dmtcs.601
Source: HAL:hal-00980765v1
Volume: Vol. 15 no. 2
Section: Combinatorics
Published on: August 1, 2013
Accepted on: June 9, 2015
Submitted on: October 24, 2011
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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Source : ScholeXplorer IsRelatedTo DOI 10.1016/0166-8641(90)90031-v
  • 10.1016/0166-8641(90)90031-v
Computer graphics and connected topologies on finite ordered sets

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