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
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
Impact factor
Impact factor: 0.900
RIV identification code
RIV/47813059:19610/22:A0000119
Organization unit
Mathematical Institute in Opava
EID Scopus
2-s2.0-85111071309
Keywords in English
special alpha limit set; triangular map of the square; non-Borel analytic set
Tags
International impact, Reviewed
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.
Displayed: 31/10/2025 22:37