2017
Том 69
№ 9

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On the asymptotic extension dimension

Repovš D., Zarichnyi M. M.

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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.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 11, pp 1766-1774.

Citation Example: Repovš D., Zarichnyi M. M. On the asymptotic extension dimension // Ukr. Mat. Zh. - 2010. - 62, № 11. - pp. 1523–1530.

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