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Description
  • We study a pretopology on $\mathbb Z^2$ having the property that the Khalimsky topology is one of its quotient pretopologies. Using this fact, we prove an analogue of the Jordan curve theorem for this pretopology thus showing that such a pretopology provides a large variety of digital Jordan curves. Some consequences of this result are discussed, too.
  • We study a pretopology on $\mathbb Z^2$ having the property that the Khalimsky topology is one of its quotient pretopologies. Using this fact, we prove an analogue of the Jordan curve theorem for this pretopology thus showing that such a pretopology provides a large variety of digital Jordan curves. Some consequences of this result are discussed, too. (en)
  • We study a pretopology on $\mathbb Z^2$ having the property that the Khalimsky topology is one of its quotient pretopologies. Using this fact, we prove an analogue of the Jordan curve theorem for this pretopology thus showing that such a pretopology provides a large variety of digital Jordan curves. Some consequences of this result are discussed, too. (cs)
Title
  • A Jordan curve theorem with respect to a pretopology on Z^2
  • A Jordan curve theorem with respect to a pretopology on Z^2 (en)
  • A Jordan curve theorem with respect to a pretopology on Z^2 (cs)
skos:prefLabel
  • A Jordan curve theorem with respect to a pretopology on Z^2
  • A Jordan curve theorem with respect to a pretopology on Z^2 (en)
  • A Jordan curve theorem with respect to a pretopology on Z^2 (cs)
skos:notation
  • RIV/00216305:26210/13:PU101371!RIV14-MSM-26210___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(ED1.1.00/02.0070)
http://linked.open...iv/cisloPeriodika
  • 8
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...dnocenehoVysledku
  • 58666
http://linked.open...ai/riv/idVysledku
  • RIV/00216305:26210/13:PU101371
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • quasi-discrete pretopology, quotient pretopology, connectedness graph, digital plane, Jordan curve (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [127D26BA8B03]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Computer Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 90
http://linked.open...iv/tvurceVysledku
  • Šlapal, Josef
issn
  • 0020-7160
number of pages
http://localhost/t...ganizacniJednotka
  • 26210
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