Publication detail
Another Jordan Curve Theorem in the topological space (Z^2,w).
ŠLAPAL, J.
Czech title
Další Jordanova věta v topologickém prostoru (Z^2,w).
English title
Another Jordan Curve Theorem in the topological space (Z^2,w).
Type
conference paper
Language
en
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).
Czech 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 in Czech
Alexandroff topology, quotient topology, digital plane, Jordan curve
Keywords in English
Alexandroff topology, quotient topology, digital plane, Jordan curve
RIV year
2014
Released
02.01.2014
Publisher
Auburn University
Location
Alabama 36849, USA
ISSN
0146-4124
Book
Topology Proceedings
Volume
43
Number
1
Pages from–to
47–56
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",
volume="43",
number="1",
month="January",
pages="47--56",
publisher="Auburn University",
address="Alabama 36849, USA
",
issn="0146-4124"
}