Publication result detail

Topological structuring of the digital plane

ŠLAPAL, J.

Original Title

Topological structuring of the digital plane

English Title

Topological structuring of the digital plane

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

We discuss an Alexandroff topology on the digital plane having the property that its quotient topologies include the Khalimsky and Marcus-Wyse topologies. We introduce a further quotient topology of the topology discussed and prove a Jordan curve theorem for it.

English abstract

We discuss an Alexandroff topology on the digital plane having the property that its quotient topologies include the Khalimsky and Marcus-Wyse topologies. We introduce a further quotient topology of the topology discussed and prove a Jordan curve theorem for it.

Keywords

digital plane, quotient topology, Khalimsky topology, Jordan curve

Key words in English

digital plane, quotient topology, Khalimsky topology, Jordan curve

Authors

ŠLAPAL, J.

RIV year

2014

Released

01.08.2013

Publisher

DMTCS

ISBN

1365-8050

Periodical

DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE

Volume

15

Number

2

State

French Republic

Pages from

165

Pages to

176

Pages count

12

URL

https://dmtcs.episciences.org/601

Full text in the Digital Library

http://hdl.handle.net/11012/69359

BibTex

@article{BUT76021,
  author="Josef {Šlapal}",
  title="Topological structuring of the digital plane",
  journal="DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE",
  year="2013",
  volume="15",
  number="2",
  pages="165--176",
  issn="1462-7264",
  url="https://dmtcs.episciences.org/601"
}

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