Scrambled and distributionally scrambled n-tuples
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F14%3A%230000449" target="_blank" >RIV/47813059:19610/14:#0000449 - isvavai.cz</a>
Result on the web
<a href="http://www.tandfonline.com/doi/abs/10.1080/10236198.2014.899358#.VSuQEjcWH0c" target="_blank" >http://www.tandfonline.com/doi/abs/10.1080/10236198.2014.899358#.VSuQEjcWH0c</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/10236198.2014.899358" target="_blank" >10.1080/10236198.2014.899358</a>
Alternative languages
Result language
angličtina
Original language name
Scrambled and distributionally scrambled n-tuples
Original language description
This article investigates the relation between the distributional chaos and the existence of a scrambled triple. We show that for a continuous mapping f acting on a compact metric space (X, d), the possession of an infinite extremal distributionally scrambled set is not sufficient for the existence of a scrambled triple. We also construct an invariant Mycielski set with an uncountable extremal distributionally scrambled set without any scrambled triple.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Difference Equations and Applications
ISSN
1023-6198
e-ISSN
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Volume of the periodical
20
Issue of the periodical within the volume
8
Country of publishing house
GB - UNITED KINGDOM
Number of pages
9
Pages from-to
1169-1177
UT code for WoS article
000337359600003
EID of the result in the Scopus database
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