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A characterization of strong measure zero sets

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Abstract

We show that a setXυR has strong measure zero iff for every closed measure zero setFυR,F+X has measure zero.

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Authors and Affiliations

  1. Department of Mathematics, University of Wrocław, pl. Grunwaldzki 2/4, 50-384, Wrocław, Poland

    Janusz Pawlikowski

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  1. Janusz Pawlikowski
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Correspondence to Janusz Pawlikowski.

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Supported by KBN grant PB 2 1017 91 01.

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Pawlikowski, J. A characterization of strong measure zero sets. Israel J. Math. 93, 171–183 (1996). https://doi.org/10.1007/BF02761100

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  • DOI: https://doi.org/10.1007/BF02761100

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