Publication detail

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

ŠLAPAL, J.

English title

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

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

Original abstract

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.

Keywords in English

Jordan curve, topology, quotient pretopology.

Released

2009-09-21

Publisher

Springer

ISSN

0302-9743

Journal

Lecture Notes in Computer Science

Volume

5810

Number

1

Pages from–to

252–262

Pages count

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"
}