On the asymptotic extension dimension

  • D. Repovš Ljubljana Univ., Slovenia
  • M. M. Zarichnyi Lviv Nat. Univ., Ukraine

Abstract

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.
Published
25.11.2010
How to Cite
RepovšD., and ZarichnyiM. M. “On the Asymptotic Extension Dimension”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 11, Nov. 2010, pp. 1523–1530, https://umj.imath.kiev.ua/index.php/umj/article/view/2976.
Section
Research articles