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DEFORMATION OF PROPERLY DISCONTINUOUS ACTIONS OF ℤ^k ON ℝ^k+1

DEFORMATION OF PROPERLY DISCONTINUOUS ACTIONS OF ℤ^k ON ℝ^k+1

We consider the deformation of a discontinuous group acting on the Euclidean space by affine transformations. A distinguished feature here is that even a 'small' deformation of a discrete subgroup may destroy proper discontinuity of its action. In order to understand the local structure of the deformation space of discontinuous …