volume 30, issue 2, P287-297 2003
DOI: 10.1007/s00454-003-0010-y
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Abstract: Abstract. In this paper we discuss the following question: how can we decide whether a convex set is determined by its angle function or not? We give sufficient conditions for convex polygons and for regular convex sets which guarantee that the set is distinguishable. We also investigate the question: which sets are typical (in the sense of Baire category), those which are distinguishable or those which are not? We prove that the family of distinguishable sets is of second Baire category.

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