Right amenable left group sets and the Tarski-FØlner theorem

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

کلیدواژه ها:

‎‎left group actions‎ ، ‎right amenability‎ ، ‎right FØlner nets‎ ، ‎right paradoxical decompositions‎ ، ‎Tarski-FØlner theorem