Detail publikace
A digital pretopology and one of its quotients
ŠLAPAL, J.
Originální název
A digital pretopology and one of its quotients
Český název
A digital pretopology and one of its quotients
Anglický název
A digital pretopology and one of its quotients
Typ
článek v časopise
Jazyk
en
Originální abstrakt
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.
Český abstrakt
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.
Anglický abstrakt
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.
Klíčová slova
Pretopology, quotient pretopology, digital plane, Jordan curve
Rok RIV
2012
Vydáno
01.01.2012
Strany od
13
Strany do
25
Strany počet
13
BibTex
@article{BUT50374,
author="Josef {Šlapal}",
title="A digital pretopology and one of its quotients",
annote="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.",
chapter="50374",
number="2",
volume="39",
year="2012",
month="january",
pages="13--25",
type="journal article"
}