Semigroups of topological mappings and dimension

V. Sh. Yusufov

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan

Abstract: We define the dimension of an arbitrary subset with nonempty interior in a finite-dimensional Euclidean space in terms of semigroups of its topological mappings.

Keywords: dimension, topological space, semigroup.

UDC: 512.534.24

Received: 16.01.2012

 English version: Siberian Mathematical Journal, 2015, 56:2, 373–378

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