A non-Borel special alpha-limit set in the square
نویسندگان
چکیده
Abstract We consider the complexity of special $\alpha $ -limit sets, a kind backward limit set for non-invertible dynamical systems. show that these sets are always analytic, but not necessarily Borel, even in case surjective map on unit square. This answers question posed by Kolyada, Misiurewicz, and Snoha.
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2021
ISSN: ['0143-3857', '1469-4417']
DOI: https://doi.org/10.1017/etds.2021.68