Publication result detail

CONVENIENT PRETOPOLOGIES ON Z^2

ŠLAPAL, J.

Original Title

CONVENIENT PRETOPOLOGIES ON Z^2

English Title

CONVENIENT PRETOPOLOGIES ON Z^2

Type

WoS Article

Original Abstract

We deal with pretopologies on the digital plane Z2 convenient for studying and processing digital pictures. We introduce a certain natural graph on the vertex set Z2 whose cycles are eligible for Jordan curves in the digital plane and discuss the pretopologies on Z2 with respect to which these cycles are Jordan curves.

English abstract

We deal with pretopologies on the digital plane Z2 convenient for studying and processing digital pictures. We introduce a certain natural graph on the vertex set Z2 whose cycles are eligible for Jordan curves in the digital plane and discuss the pretopologies on Z2 with respect to which these cycles are Jordan curves.

Keywords

digital plane, Alexandroff pretopology, Khalimsky topology, connectedness graph, Jordan curve.

Key words in English

digital plane, Alexandroff pretopology, Khalimsky topology, connectedness graph, Jordan curve.

Authors

ŠLAPAL, J.

RIV year

2019

Released

08.02.2018

Publisher

Baku State University

Location

Baku

ISBN

2076-2585

Periodical

TWMS Journal of Pure and Applied Mathematics

Volume

9

Number

1

State

Republic of Azerbaijan

Pages from

40

Pages to

51

Pages count

12

URL

http://static.bsu.az/w24/TWMS%20V9%20N1/pp40-51.pdf

BibTex

@article{BUT148081,
  author="Josef {Šlapal}",
  title="CONVENIENT PRETOPOLOGIES ON Z^2",
  journal="TWMS Journal of Pure and Applied Mathematics",
  year="2018",
  volume="9",
  number="1",
  pages="40--51",
  issn="2076-2585",
  url="http://static.bsu.az/w24/TWMS%20V9%20N1/pp40-51.pdf"
}