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Properties of paradoxical sets in the plane |
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| Authors: | Glen Aldridge Sherman |
| Affiliation: | (1) Department of Mathematics, University of Toronto, M5S 1A1 Toronto, Ontario, Canada |
| Abstract: | We show that every paradoxical subset of  2has empty interior, and every measurable paradoxical subset of 2has measure zero. We investigate how the proof fails in the hyperbolic plane, where there are paradoxical sets with interior points and with infinite measure. |
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