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@article{65306, author = {Jackson, Stephen and Mance, Bill and Roth, Samuel Joshua}, article_location = {New York}, article_number = {8}, doi = {http://dx.doi.org/10.1017/etds.2021.68}, keywords = {special alpha limit set; triangular map of the square; non-Borel analytic set}, language = {eng}, issn = {0143-3857}, journal = {Ergodic Theory and Dynamical Systems}, title = {A non-Borel special alpha-limit set in the square}, url = {https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/nonborel-special-alphalimit-set-in-the-square/48C7F0D48DC9D31458F7ED63ED195AC1}, volume = {42}, year = {2022} }
TY - JOUR ID - 65306 AU - Jackson, Stephen - Mance, Bill - Roth, Samuel Joshua PY - 2022 TI - A non-Borel special alpha-limit set in the square JF - Ergodic Theory and Dynamical Systems VL - 42 IS - 8 SP - 2550-2560 EP - 2550-2560 PB - Cambridge University Press SN - 01433857 KW - special alpha limit set KW - triangular map of the square KW - non-Borel analytic set UR - https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/nonborel-special-alphalimit-set-in-the-square/48C7F0D48DC9D31458F7ED63ED195AC1 N2 - 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. ER -
JACKSON, Stephen, Bill MANCE a Samuel Joshua ROTH. A non-Borel special alpha-limit set in the square. \textit{Ergodic Theory and Dynamical Systems}. New York: Cambridge University Press, 2022, roč.~42, č.~8, s.~2550-2560. ISSN~0143-3857. Dostupné z: https://dx.doi.org/10.1017/etds.2021.68.
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