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Decomposing Rd into finitely many semigroups |
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| Affiliation: | Department of Mathematics, University of Rochester, Rochester, N.Y. 14627, U.S.A. |
| Abstract: | We determine the precise structure of those (additive) semigroups in Rd which belong to at least one partition of Rd into finitely many disjoint Borel measurable semigroups.We also find the structure of the convex sets in Rd which belong to some partition of Rd into finitely many disjoint convex sets. |
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