Publication detail

A digital pretopology and one of its quotients

ŠLAPAL, J.

English title

A digital pretopology and one of its quotients

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

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 in English

Pretopology, quotient pretopology, digital plane, Jordan curve

Released

2012-01-01

ISSN

0146-4124

Journal

Topology proceedings

Volume

39

Number

2

Pages from–to

13–25

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"
}