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Publication detail
ŠLAPAL, J.
Original Title
A Jordan curve theorem with respect to a pretopology on Z^2
English Title
Type
journal article - other
Language
Czech
Original Abstract
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.
English abstract
Keywords
quasi-discrete pretopology, quotient pretopology, connectedness graph, digital plane, Jordan curve
Key words in English
Authors
RIV year
2013
Released
1. 8. 2013
Publisher
Taylor&Francis
Location
England
ISBN
0020-7160
Periodical
International Journal of Computer Mathematics
Year of study
90
Number
8
State
United Kingdom of Great Britain and Northern Ireland
Pages from
1618
Pages to
1628
Pages count
11
BibTex
@article{BUT96346, author="Josef {Šlapal}", title="A Jordan curve theorem with respect to a pretopology on Z^2", journal="International Journal of Computer Mathematics", year="2013", volume="90", number="8", pages="1618--1628", issn="0020-7160" }