Detail publikace

A digital pretopology and one of its quotients

ŠLAPAL, J.

Český název

A digital pretopology and one of its quotients

Anglický název

A digital pretopology and one of its quotients

Typ

článek v časopise - ostatní, Jost

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 česky

Pretopology, quotient pretopology, digital plane, Jordan curve

Klíčová slova anglicky

Pretopology, quotient pretopology, digital plane, Jordan curve

Rok RIV

2012

Vydáno

01.01.2012

ISSN

0146-4124

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",
  year="2012",
  volume="39",
  number="2",
  month="January",
  pages="13--25",
  issn="0146-4124"
}