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Subgroups of sequences and paths

Subgroups of sequences and paths

OREY2 0. It is well known and easy to prove that if a measurable subgroup G of ra-dimensional Euclidean space Rn has positive ra-dimensional Lebesgue measure, then G = Rn.In the first section we give an analogue of this result for subgroups of real-valued sequences, where the space R°° of …