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arXiv · 1603.06460

Right Amenable Left Group Sets and the Tarski-F{\o}lner Theorem

Simon Wacker
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Abstract

We introduce right amenability, right F{\o}lner nets, and right paradoxical decompositions for left homogeneous spaces and prove the Tarski-F{\o}lner theorem for left homogeneous spaces with finite stabilisers. It states that right amenability, the existence of right F{\o}lner nets, and the non-existence of right paradoxical decompositions are equivalent.

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Simon Wacker. 2016-03-21. Right Amenable Left Group Sets and the Tarski-F{\o}lner Theorem. https://arxiv.org/abs/1603.06460

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