Result Details
A digital pretopology and one of its quotients
ŠLAPAL, J. A digital pretopology and one of its quotients. Topology Proceedings, 2012, vol. 39, no. 2, p. 13-25. ISSN: 0146-4124.
Type
journal article
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM (FME)
Abstract
We introduce a certain pretopology on the digital plane $\mathbb Z^2$
and present a digital analogue of the Jordan curve
theorem for for it. We then discuss a topology on $\mathbb Z^2$ which is shown to be
a quotient pretopology of the pretopology introduced. This fact is used to prove a digital Jordan curve theorem also for this topology.
Keywords
Pretopology, quotient pretopology, digital plane, Jordan curve
Published
2012
Pages
13–25
Journal
Topology Proceedings, vol. 39, no. 2, ISSN 0146-4124
BibTeX
@article{BUT50374,
author="Josef {Šlapal}",
title="A digital pretopology and one of its quotients",
journal="Topology Proceedings",
year="2012",
volume="39",
number="2",
pages="13--25",
issn="0146-4124"
}
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