2017•Publications of the Research Institute for Mathematical SciencesRequires access
Paradoxical Partition of Unity for Hypergroups
Akram Yousofzadeh
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Abstract
The paradoxical partition of unity of a discrete hypergroup is defined. It is shown that a discrete hypergroup is amenable if and only if it admits no paradoxical partition of unity. We introduce the Tarski number for discrete hypergroups and present a constructive way to compute an upper bound for this number.