When are all closed subsets recurrent?

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F17%3AA1801I26" target="_blank" >RIV/61988987:17610/17:A1801I26 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1017/etds.2016.5" target="_blank" >http://dx.doi.org/10.1017/etds.2016.5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/etds.2016.5" target="_blank" >10.1017/etds.2016.5</a>

Result language
angličtina
Original language name
When are all closed subsets recurrent?
Original language description
In the paper we study relations of rigidity, equicontinuity and pointwise recurrence between an invertible topological dynamical system (t.d.s.) (X,T) and the t.d.s. (K(X),TK) induced on the hyperspace K(X) of all compact subsets of X, and provide some characterizations. Among other examples, we construct a minimal, non-equicontinuous, distal and uniformly rigid t.d.s. and a weakly mixing t.d.s. which induces dense periodic points on the hyperspace K(X) but itself does not have dense distal points, solving in that way a few open questions from earlier articles by Dong, and Li, Yan and Ye.
Czech name
—
Czech description
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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

Project
<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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