Publication result detail

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

ŠLAPAL, J.

Original Title

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

English Title

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

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

English 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

Jordan curve, topology, quotient pretopology.

Key words in English

Jordan curve, topology, quotient pretopology.

Authors

ŠLAPAL, J.

RIV year

2010

Released

21.09.2009

Publisher

Springer

ISBN

0302-9743

Periodical

Lecture Notes in Computer Science

Volume

5810

Number

1

State

Federal Republic of Germany

Pages from

252

Pages to

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"
}