J 2022

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

JACKSON, Stephen, Bill MANCE and Samuel Joshua ROTH

Basic information

Original name

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

Authors

JACKSON, Stephen (840 United States of America, guarantor), Bill MANCE (840 United States of America) and Samuel Joshua ROTH (840 United States of America, belonging to the institution)

Edition

Ergodic Theory and Dynamical Systems, New York, Cambridge University Press, 2022, 0143-3857

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Ergodic Theory and Dynamical Systems

RIV identification code

RIV/47813059:19610/22:A0000119

Organization unit

Mathematical Institute in Opava

DOI

http://dx.doi.org/10.1017/etds.2021.68

UT WoS

000767040400001

Keywords in English

special alpha limit set; triangular map of the square; non-Borel analytic set

Tags

Tags

International impact, Reviewed
Změněno: 4/3/2023 09:26, Mgr. Aleš Ryšavý

Abstract

V originále

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.
Displayed: 24/12/2024 04:07