A continuum-chainable continuum which can not be mapped onto an arcwise connected continuum by a monotone epsilon mapping

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10127950" target="_blank" >RIV/00216208:11320/13:10127950 - 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 continuum-chainable continuum which can not be mapped onto an arcwise connected continuum by a monotone epsilon mapping

Original language description

A continuum is called continuum-chainable provided for any pair of points and positive epsilon there exists a finite chain of subcontinua of diameter less than epsilon starting at one point and ending in the other. We present an example of a continuum which is continuum-chainable and which can not be mapped onto an arcwise connected continuum by a monotone epsilon mapping. This answers a question posed by W. J. Charatonik.

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

2013

Confidentiality

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

Name of the periodical

Glasnik Matematicki

ISSN

0017-095X

e-ISSN

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Volume of the periodical

48

Issue of the periodical within the volume

1

Country of publishing house

CR - COSTA RICA

Number of pages

6

Pages from-to

167-172

UT code for WoS article

000319866600013

EID of the result in the Scopus database

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