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Universal spaces for asymptotic dimension |
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| Authors: | A Dranishnikov M Zarichnyi |
| Institution: | a Department of Mathematics, University of Florida, 358 Little Hall, P.O. Box 118105, Gainesville, FL 32611-8105, USA b Department of Mechanics and Mathematics, Lviv National University, Universytetska 1, 79000, Lviv, Ukraine |
| Abstract: | We construct a universal space for the class of proper metric spaces of bounded geometry and of given asymptotic dimension. As a consequence of this result, we establish coincidence of asymptotic dimension with asymptotic inductive dimension. |
| Keywords: | Asymptotic dimension Universal space Asymptotic inductive dimension |
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