Maldistributed sequences in metric spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F25%3AA2603CDO" target="_blank" >RIV/61988987:17310/25:A2603CDO - isvavai.cz</a>
Result on the web
<a href="https://linkinghub.elsevier.com/retrieve/pii/S0022247X24005894" target="_blank" >https://linkinghub.elsevier.com/retrieve/pii/S0022247X24005894</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2024.128667" target="_blank" >10.1016/j.jmaa.2024.128667</a>

Result language
angličtina
Original language name
Maldistributed sequences in metric spaces
Original language description
Let a kind of measure $mu$ be given on the set of all positive integers $NN$. By a $mu$-maldistributed sequence in a metric space $(X,d)$ we mean any sequence possessing $mu$-extremely many points in each open subspace of $(X, d)$. Let $s(X)$ denote the metric space of all sequences in $(X,d)$ endowed with the Fr'echet metric. In this paper we study topological properties of the set of all maldistributed sequences in $X$ as a subspace $s(X)$. We show that if $(X,d)$ is separable then this set is residual for a large class of commonly used measures $mu$ on $NN$.
Czech name
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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
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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