A non-Borel special alpha-limit set in the square

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F22%3AA0000119" target="_blank" >RIV/47813059:19610/22:A0000119 - isvavai.cz</a>

Result on the web

<a href="https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/nonborel-special-alphalimit-set-in-the-square/48C7F0D48DC9D31458F7ED63ED195AC1" target="_blank" >https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/nonborel-special-alphalimit-set-in-the-square/48C7F0D48DC9D31458F7ED63ED195AC1</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1017/etds.2021.68" target="_blank" >10.1017/etds.2021.68</a>

Result language

angličtina

Original language name

A non-Borel special alpha-limit set in the square

Original language description

We consider the complexity of special alpha-limit sets, a kind of backward limit set for non-invertible dynamical systems. We show that these sets are always analytic, but not necessarily Borel, even in the case of a surjective map on the unit square. This answers a question posed by Kolyada, Misiurewicz, and Snoha.

Czech name

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Czech description

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Type

J_imp - 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

2022

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Ergodic Theory and Dynamical Systems

ISSN

0143-3857

e-ISSN

1469-4417

Volume of the periodical

42

Issue of the periodical within the volume

8

Country of publishing house

US - UNITED STATES

Number of pages

11

Pages from-to

2550-2560

UT code for WoS article

000767040400001

EID of the result in the Scopus database

2-s2.0-85111071309