On compact sets with a certain affine invariant |
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Authors: | A S Voynov |
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Institution: | 1. Moscow State University, Moscow, Russia
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Abstract: | We give a complete characterization of finite-dimensional compact sets with the following property: all of their images under affine operators are symmetric (that is, have symmetry planes of certain dimensions). We also study the noncompact case; namely, we reveal a class of unbounded closed sets with this property and conjecture that this class is complete. |
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