Abstract
LetMbe any bounded set inn-dimensional Euclidean space. Then almost alln-dimensional latticesLwith determinant1have the following property: There exists a diagonal transformationDwith determinant1(depending onL) such thatLdoes not cover space withDM. Moreover, ifMhas non-empty interior, the exceptional (null-) set contains at least enumerably many diagonally non-equivalent lattices.
Publisher
Cambridge University Press (CUP)
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