Publication detail

A digital pretopology and one of its quotients

ŠLAPAL, J.

Original Title

A digital pretopology and one of its quotients

Type

journal article - other

Language

English

Original 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

Authors

ŠLAPAL, J.

RIV year

2012

Released

1. 1. 2012

ISBN

0146-4124

Periodical

Topology Proceedings

Year of study

39

Number

2

State

United States of America

Pages from

13

Pages to

25

Pages count

13

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"
}