Hypergroups on two tori |
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| Authors: | Michael Voit |
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| Affiliation: | 1. Fachbereich Mathematik, Universit?t Dortmund, 44221, Dortmund, Germany
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| Abstract: | We classify all hypergroup structures on two disjoint tori and on two disjoint real lines. We show that both spaces admit many hypergroup structures, and that all examples can be constructed from group cases by substitution of open subhypergroups together with certain deformations of the group convolutions. |
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| Keywords: | Classification of hypergroups Substitution of open subhypergroups Constructions of hypergroups |
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