Detail publikace
A Jordan curve theorem with respect to a pretopology on Z^2
ŠLAPAL, J.
Český název
A Jordan curve theorem with respect to a pretopology on Z^2
Anglický název
A Jordan curve theorem with respect to a pretopology on Z^2
Typ
článek v časopise - ostatní, Jost
Jazyk
cs
Originální abstrakt
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.
Český abstrakt
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.
Anglický abstrakt
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.
Klíčová slova česky
quasi-discrete pretopology, quotient pretopology, connectedness graph, digital plane, Jordan curve
Klíčová slova anglicky
quasi-discrete pretopology, quotient pretopology, connectedness graph, digital plane, Jordan curve
Rok RIV
2013
Vydáno
01.08.2013
Nakladatel
Taylor&Francis
Místo
England
ISSN
0020-7160
Ročník
90
Číslo
8
Strany od–do
1618–1628
Počet stran
11
BIBTEX
@article{BUT96346,
author="Josef {Šlapal},
title="A Jordan curve theorem with respect to a pretopology on Z^2",
year="2013",
volume="90",
number="8",
month="August",
pages="1618--1628",
publisher="Taylor&Francis",
address="England",
issn="0020-7160"
}