Paradoxical subsets of hyperbolic and spherical discs |
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Authors: | Glen Aldridge Sherman |
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Institution: | (1) Department of Mathematics, University of Toronto, 100 St George Street, M5S 1A1 Toronto, Ontario, Canada |
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Abstract: | Given a disc D of radius r in H
2 (resp. S
2) with <r![le](/content/p5t28322q54478mj/xxlarge8804.gif) (resp. <r![le](/content/p5t28322q54478mj/xxlarge8804.gif) ), we determine the pairs (m,n) for which there is an (m,n)-paradoxical subset of D but not an (m–1, n)-paradoxical subset of D or an (m, n–1)-paradoxical subset of D. |
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Keywords: | |
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