Right Amenable Left Group Sets and the Tarski-Flner Theorem
Abstract
We introduce right amenability, right Flner nets, and right paradoxical decompositions for left homogeneous spaces and prove the Tarski-Flner theorem for left homogeneous spaces with finite stabilisers. It states that right amenability, the existence of right Flner nets, and the non-existence of right paradoxical decompositions are equivalent.
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