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

Kód výsledku v 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>
Výsledek na webu
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DOI - Digital Object Identifier
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Jazyk výsledku
angličtina
Název v původním jazyce
A continuum-chainable continuum which can not be mapped onto an arcwise connected continuum by a monotone epsilon mapping
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
A continuum-chainable continuum which can not be mapped onto an arcwise connected continuum by a monotone epsilon mapping
Popis výsledku anglicky
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.

Druh
J<sub>x</sub> - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CEP obor
BA - Obecná matematika
OECD FORD obor
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Rok uplatnění
2013
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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