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Characterization of the
Steiner point
Walter J. Meyer |
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Vol. 35 (1970), No. 3, 717–725
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Abstract |
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Let f be a mapping which associates with each compact convex set in En a point of En. If f is linear (in terms of the vector addition of convex sets), uniformly continuous and commutes with a substantial enough set of congruences of En, then f(K) is the Steiner point of K for all compact convex sets K. |
Mathematical Subject Classification
Primary: 52.30
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Milestones
Received: 20 October 1969
Published: 1 December 1970
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Authors |
| Walter J. Meyer | |
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