About: Jordan curve theorems with respect to certain pretopologies on Z^2

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We discuss four quotient pretopologies of a certain basic topology on the digital plane. Three of them are even topologies and include the well-known Khalimsky and Marcus-Wyse topologies. Some known Jordan curves in the basic topology are used to prove Jordan curve theorems that identify Jordan curves among simple closed ones in each of the four quotient pretopologies. We discuss four quotient pretopologies of a certain basic topology on the digital plane. Three of them are even topologies and include the well-known Khalimsky and Marcus-Wyse topologies. Some known Jordan curves in the basic topology are used to prove Jordan curve theorems that identify Jordan curves among simple closed ones in each of the four quotient pretopologies. (en)
Title	Jordan curve theorems with respect to certain pretopologies on Z^2 Jordan curve theorems with respect to certain pretopologies on Z^2 (en)
skos:prefLabel	Jordan curve theorems with respect to certain pretopologies on Z^2 Jordan curve theorems with respect to certain pretopologies on Z^2 (en)
skos:notation	RIV/00216305:26210/09:PU81907!RIV10-MSM-26210___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM0021630518)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Šlapal, Josef
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoké učení technické v Brně / Fakulta strojního inženýrství
http://linked.open...dnocenehoVysledku	321026
http://linked.open...ai/riv/idVysledku	RIV/00216305:26210/09:PU81907
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Jordan curve, topology, quotient pretopology. (en)
http://linked.open.../riv/klicoveSlovo	Jordan curve quotient pretopology. topology
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[195F874089EB]
http://linked.open...i/riv/nazevZdroje	Lecture Notes in Computer Science (IF 0,513)
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	5810
http://linked.open...iv/tvurceVysledku	Šlapal, Josef
http://linked.open...n/vavai/riv/zamer	Simulation modelling of mechatronics systems
issn	0302-9743
number of pages	11 (xsd:int)
http://localhost/t...ganizacniJednotka	26210

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