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On the asymptotic extension dimension

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Ukrainian Mathematical Journal Aims and scope

We introduce an asymptotic counterpart of the extension dimension defined by Dranishnikov. The main result establishes the relationship between the asymptotic extensional dimension of a proper metric space and the extension dimension of its Higson corona.

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Authors and Affiliations

  1. University of Ljubljana, Ljubljana, Slovenia

    D. Repovš

  2. Lviv National University, Lviv, Ukraine

    M. Zarichnyi

Authors
  1. D. Repovš
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  2. M. Zarichnyi
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 11, pp. 1523–1530, November, 2010.

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Repovš, D., Zarichnyi, M. On the asymptotic extension dimension. Ukr Math J 62, 1766–1774 (2011). https://doi.org/10.1007/s11253-011-0466-3

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  • DOI: https://doi.org/10.1007/s11253-011-0466-3

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