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Paradoxical subsets of hyperbolic and spherical discs
Authors:Glen Aldridge Sherman
Institution:(1) Department of Mathematics, University of Toronto, 100 St George Street, M5S 1A1 Toronto, Ontario, Canada
Abstract:Given a disc D of radius r in H 2 (resp. S 2) with thetav<rleinfin (resp. thetav<rlepgr), 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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