Paradoxical partition of unity for hypergroups (Q2403289)

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Paradoxical partition of unity for hypergroups
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    Paradoxical partition of unity for hypergroups (English)
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    8 September 2017
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    Summary: 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.
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    hypergroup
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    paradoxical partition of unity
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    amenability
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