On transfinite extension of asymptotic dimension |
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Authors: | T Radul |
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Institution: | Department of Mechanics and Mathematics, Lviv National University, Universytetska st. 1, 79000 Lviv, Ukraine |
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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. |
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Keywords: | Asymptotic dimension Transfinite extension |
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