Josef Šlapal - Topological structuring of the digital plane

dmtcs:601 - Discrete Mathematics & Theoretical Computer Science, August 1, 2013, Vol. 15 no. 2 -
Topological structuring of the digital planeArticle

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.

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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