A homeomorphism between strong measure zero sets whose graph is not of strong measure zero |
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Authors: | Roman Pol |
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Institution: | University of Warsaw, Warsaw, Poland |
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Abstract: | Assuming Martin's axiom MA, we define a homeomorphism between two strong measure zero sets in the real line whose graph in not of strong measure zero in the plane. Using Michael's concentrated sets, we give also some refinements of this result, and we describe some singular subgroups of the group ZN. |
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Keywords: | 54G20 03E20 03E50 |
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