Detail publikace

A digital pretopology and one of its quotients

ŠLAPAL, J.

Anglický název

A digital pretopology and one of its quotients

Typ

Článek recenzovaný mimo WoS a Scopus

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.

Klíčová slova anglicky

Pretopology, quotient pretopology, digital plane, Jordan curve

Vydáno

2012-01-01

ISSN

0146-4124

Časopis

Topology proceedings

Ročník

39

Číslo

2

Strany od–do

13–25

Počet stran

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"
}