Publication result detail

A digital pretopology and one of its quotients

ŠLAPAL, J.

Original Title

A digital pretopology and one of its quotients

English Title

A digital pretopology and one of its quotients

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

English 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

Key words in English

Pretopology, quotient pretopology, digital plane, Jordan curve

Authors

ŠLAPAL, J.

RIV year

2013

Released

01.01.2012

ISBN

0146-4124

Periodical

Topology Proceedings

Volume

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"
}