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On transfinite extension of asymptotic dimension
Authors:T Radul
Institution:Department of Mechanics and Mathematics, Lviv National University, Universytetska st. 1, 79000 Lviv, Ukraine
Abstract:We prove that a transfinite extension of the asymptotic dimension asind is trivial. We introduce a transfinite extension of the asymptotic dimension asdim and give an example of a metric proper space which has transfinite infinite dimension.
Keywords:Asymptotic dimension  Transfinite extension
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