Detail publikace

Jordan curve theorems with respect to certain pretopologies on Z^2

ŠLAPAL, J.

Anglický název

Jordan curve theorems with respect to certain pretopologies on Z^2

Typ

Článek recenzovaný mimo WoS a Scopus

Jazyk

en

Originální abstrakt

We discuss four quotient pretopologies of a certain basic topology on the digital plane. Three of them are even topologies and include the well-known Khalimsky and Marcus-Wyse topologies. Some known Jordan curves in the basic topology are used to prove Jordan curve theorems that identify Jordan curves among simple closed ones in each of the four quotient pretopologies.

Klíčová slova anglicky

Jordan curve, topology, quotient pretopology.

Vydáno

2009-09-21

Nakladatel

Springer

ISSN

0302-9743

Časopis

Lecture Notes in Computer Science

Ročník

5810

Číslo

1

Strany od–do

252–262

Počet stran

11

BIBTEX


@article{BUT49487,
  author="Josef {Šlapal}",
  title="Jordan curve theorems with respect to certain pretopologies on Z^2",
  journal="Lecture Notes in Computer Science",
  year="2009",
  volume="5810",
  number="1",
  pages="252--262",
  issn="0302-9743"
}