Author： Voynov A.
Publisher： MAIK Nauka/Interperiodica
ISSN： 0001-4346
Source： Academy of Sciences of the USSR Mathematical Notes, Vol.90, Iss.1-2, 2011-08, pp. : 32-36
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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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