A mixing completely scrambled system exists
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA2001I3B" target="_blank" >RIV/61988987:17610/19:A2001I3B - isvavai.cz</a>
Result on the web
<a href="https://arxiv.org/abs/1609.01631" target="_blank" >https://arxiv.org/abs/1609.01631</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/etds.2017.16" target="_blank" >10.1017/etds.2017.16</a>
Alternative languages
Result language
angličtina
Original language name
A mixing completely scrambled system exists
Original language description
We prove that there exists a topologically mixing homeomorphism which is completely scrambled. We also prove that for any integer $ngeq 1$there is a continuum of topological dimension $n$ supporting a transitive completely scrambled homeomorphism, and $n$-dimensional compactum supporting a weakly mixing completely scrambled homeomorphism. This solves a 15 year old open problem.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
O - Projekt operacniho programu
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Ergodic Theory and Dynamical Systems
ISSN
0143-3857
e-ISSN
—
Volume of the periodical
39
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
12
Pages from-to
62-73
UT code for WoS article
000451398100003
EID of the result in the Scopus database
2-s2.0-85018995070