JournalsprimsVol. 53, No. 3pp. 419–429

Paradoxical Partition of Unity for Hypergroups

  • Akram Yousofzadeh

    Islamic Azad University, Isfahan, Iran
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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.

Cite this article

Akram Yousofzadeh, Paradoxical Partition of Unity for Hypergroups. Publ. Res. Inst. Math. Sci. 53 (2017), no. 3, pp. 419–429

DOI 10.4171/PRIMS/53-3-4