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On translations of subsets of the real line |
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| Authors: | Jacek Cichon Andrzej Jasinski Anastasis Kamburelis Przemyslaw Szczepaniak |
| Institution: | Institute of Mathematics, Wroclaw University, Pl. grunwaldzki 2/4, 50--384 Wroclaw, Poland Andrzej Jasinski ; Institute of Mathematics, Wroclaw University, Pl. grunwaldzki 2/4, 50--384 Wroclaw, Poland Anastasis Kamburelis ; Institute of Mathematics, Wroclaw University, Pl. grunwaldzki 2/4, 50--384 Wroclaw, Poland ; Institute of Mathematics, Wroclaw University, Pl. grunwaldzki 2/4, 50--384 Wroclaw, Poland |
| Abstract: | In this paper we discuss various questions connected with translations of subsets of the real line. Most of these questions originate from W. Sierpinski. We discuss the number of translations a single subset of the reals may have. Later we discuss almost invariant subsets of Abelian groups. |
| Keywords: | Lebesgue measure Baire property almost invariant sets |
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