Transitivity in nonautonomous systems generated by a uniformly convergent sequence of maps

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F24%3AA0000162" target="_blank" >RIV/47813059:19610/24:A0000162 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0166864124000890" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0166864124000890</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.topol.2024.108904" target="_blank" >10.1016/j.topol.2024.108904</a>

Result language
angličtina
Original language name
Transitivity in nonautonomous systems generated by a uniformly convergent sequence of maps
Original language description
Let (X, d) be a metric space and f1,infinity = {fn}infinity i=0 be a sequence of continuous maps fn : X -> X such that (fn) converges uniformly to a continuous map f. We investigate which conditions ensure that the transitivity of functions fn or the transitivity of the nonautonomous system (X, f1,infinity) is inherited to the limit function f and vice versa. Such problem has been studied for instance by A. Fedeli, A. Le Donne or J. Li who give different sufficient condition for inheriting of transitivity from fn to f. In this paper we give a survey of known result relating to this problem and prove new results concerning transitivity.
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
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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