EMIS ELibM Electronic Journals Journal of Applied Analysis
Vol. 1, No. 2, pp. 145-158 (1995)

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On translations of sets and functions

A.B. Kharazishvili

Institute of Applied Mathematics
University of Tbilisi
University str. 2
380043 Tbilisi 43
Republic of Georgia

Abstract: We consider some properties of sets and functions in connection with their translations. We give an application of those properties to the theory of invariant measures (in particular, to the theory of invariant extensions of the classical Lebesgue measure).

Keywords: Transformation group, commutative group, almostinvariant set, invariant measure, Sierpi{n}ski set, uniformization

Classification (MSC2000): 28A05, 28D05

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Electronic fulltext finalized on: 29 May 2002. This page was last modified: 21 Dec 2002.

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