A non-Borel special alpha-limit set in the square
Dynamical Systems
2020-11-12 v1 Logic
Abstract
We consider the complexity of special -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.
Cite
@article{arxiv.2011.05509,
title = {A non-Borel special alpha-limit set in the square},
author = {Steve Jackson and Bill Mance and Samuel Roth},
journal= {arXiv preprint arXiv:2011.05509},
year = {2020}
}
Comments
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