Result Details
Jordan curve theorems with respect to certain pretopologies on Z^2
ŠLAPAL, J. Jordan curve theorems with respect to certain pretopologies on Z^2. Lecture Notes in Computer Science, 2009, vol. 5810, no. 1, p. 252-262. ISSN: 0302-9743.
Type
journal article
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM (FME)
Abstract
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.
Keywords
Jordan curve, topology, quotient pretopology.
Published
2009
Pages
252–262
Journal
Lecture Notes in Computer Science, vol. 5810, no. 1, ISSN 0302-9743
Publisher
Springer
BibTeX
@article{BUT49487,
author="Josef {Šlapal}",
title="Jordan curve theorems with respect to certain pretopologies on Z^2",
journal="Lecture Notes in Computer Science",
year="2009",
volume="5810",
number="1",
pages="252--262",
issn="0302-9743"
}
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