Publication result detail

Another Jordan Curve Theorem in the topological space (Z^2,w).

ŠLAPAL, J.

Original Title

Another Jordan Curve Theorem in the topological space (Z^2,w).

English Title

Another Jordan Curve Theorem in the topological space (Z^2,w).

Type

Paper in proceedings (conference paper)

Original Abstract

As an alternative to the Khalimsky topology, the topology w on the digital plane Z^2 was introduced by the author of this note who also proved a Jordan curve theorem for it. It the present paper, another Jordan curve theorem for the topology w is proved determining a large variety of Jordan curves in the topological space (Z^2,w).

English abstract

As an alternative to the Khalimsky topology, the topology w on the digital plane Z^2 was introduced by the author of this note who also proved a Jordan curve theorem for it. It the present paper, another Jordan curve theorem for the topology w is proved determining a large variety of Jordan curves in the topological space (Z^2,w).

Keywords

Alexandroff topology, quotient topology, digital plane, Jordan curve

Key words in English

Alexandroff topology, quotient topology, digital plane, Jordan curve

Authors

ŠLAPAL, J.

RIV year

2017

Released

02.01.2014

Publisher

Auburn University

Location

Alabama 36849, USA

Book

Topology Proceedings

ISBN

0146-4124

Periodical

Topology Proceedings

Volume

43

Number

1

State

United States of America

Pages from

47

Pages to

56

Pages count

10

BibTex

@inproceedings{BUT76115,
  author="Josef {Šlapal}",
  title="Another Jordan Curve Theorem in the topological space (Z^2,w).",
  booktitle="Topology Proceedings",
  year="2014",
  journal="Topology Proceedings",
  volume="43",
  number="1",
  pages="47--56",
  publisher="Auburn University",
  address="Alabama 36849, USA
",
  issn="0146-4124"
}