On translations of subsets of the real line
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- by Jacek Cichoń, Andrzej Jasiński, Anastasis Kamburelis and Przemysław Szczepaniak
- Proc. Amer. Math. Soc. 130 (2002), 1833-1842
- DOI: https://doi.org/10.1090/S0002-9939-01-06224-4
- Published electronically: October 17, 2001
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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.References
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Bibliographic Information
- Jacek Cichoń
- Affiliation: Institute of Mathematics, Wrocław University, Pl. grunwaldzki 2/4, 50–384 Wrocław, Poland
- Andrzej Jasiński
- Affiliation: Institute of Mathematics, Wrocław University, Pl. grunwaldzki 2/4, 50–384 Wrocław, Poland
- Anastasis Kamburelis
- Affiliation: Institute of Mathematics, Wrocław University, Pl. grunwaldzki 2/4, 50–384 Wrocław, Poland
- Email: akamb@math.uni.wroc.pl
- Przemysław Szczepaniak
- Affiliation: Institute of Mathematics, Wrocław University, Pl. grunwaldzki 2/4, 50–384 Wrocław, Poland
- Received by editor(s): July 6, 2000
- Received by editor(s) in revised form: December 8, 2000
- Published electronically: October 17, 2001
- Communicated by: Alan Dow
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 1833-1842
- MSC (2000): Primary 03E15; Secondary 28A05
- DOI: https://doi.org/10.1090/S0002-9939-01-06224-4
- MathSciNet review: 1887032