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"
}``````