2022
A non-Borel special alpha-limit set in the square
JACKSON, Stephen; Bill MANCE and Samuel Joshua ROTHBasic information
Original name
A non-Borel special alpha-limit set in the square
Authors
JACKSON, Stephen; Bill MANCE and Samuel Joshua ROTH
Edition
Ergodic Theory and Dynamical Systems, New York, Cambridge University Press, 2022, 0143-3857
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 0.900
RIV identification code
RIV/47813059:19610/22:A0000119
Organization unit
Mathematical Institute in Opava
UT WoS
000767040400001
EID Scopus
2-s2.0-85111071309
Keywords in English
special alpha limit set; triangular map of the square; non-Borel analytic set
Tags
Tags
International impact, Reviewed
Changed: 4/3/2023 09:26, Mgr. Aleš Ryšavý
Abstract
In the original language
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.