Result Details
Topological structuring of the digital plane
ŠLAPAL, J. Topological structuring of the digital plane. DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, 2013, vol. 15, no. 2, p. 165-176. ISSN: 1365-8050.
Type
journal article
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM (FME)
Abstract
We discuss an Alexandroff
topology on the digital plane having the property that its quotient topologies include the Khalimsky and
Marcus-Wyse topologies. We introduce a further quotient topology of the topology discussed
and prove a Jordan curve theorem for it.
Keywords
digital plane, quotient topology, Khalimsky topology, Jordan curve
URL
Published
2013
Pages
165–176
Journal
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, vol. 15, no. 2, ISSN 1365-8050
Publisher
DMTCS
BibTeX
@article{BUT76021,
author="Josef {Šlapal}",
title="Topological structuring of the digital plane",
journal="DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE",
year="2013",
volume="15",
number="2",
pages="165--176",
issn="1462-7264",
url="https://dmtcs.episciences.org/601"
}
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