A digital pretopology and one of its quotients

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F12%3APU91539" target="_blank" >RIV/00216305:26210/12:PU91539 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

A digital pretopology and one of its quotients

Original language description

We introduce a certain pretopology on the digital plane $mathbb Z^2$ and present a digital analogue of the Jordan curve theorem for for it. We then discuss a topology on $mathbb Z^2$ which is shown to be a quotient pretopology of the pretopology introduced. This fact is used to prove a digital Jordan curve theorem also for this topology.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Topology Proceedings

ISSN

0146-4124

e-ISSN

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Volume of the periodical

39

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

13

Pages from-to

13-25

UT code for WoS article

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EID of the result in the Scopus database

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