On translations of subsets of the real line

Cichoń, Jacek; Jasiński, Andrzej; Kamburelis, Anastasis; Szczepaniak, Przemysław

doi:10.1090/S0002-9939-01-06224-4

On translations of subsets of the real line
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by Jacek Cichoń, Andrzej Jasiński, Anastasis Kamburelis and Przemysław Szczepaniak PDF

Proc. Amer. Math. Soc. 130 (2002), 1833-1842 Request permission

Abstract:

In this paper we discuss various questions connected with translations of subsets of the real line. Most of these questions originate from W. Sierpiński. We discuss the number of translations a single subset of the reals may have. Later we discuss almost invariant subsets of Abelian groups.

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