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Partition numbers for
trees and ordered sets
Robert Edward Jamison, II |
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Vol. 96 (1981), No. 1, 115–140
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Abstract |
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In this paper some bounds on the Tveberg-type convexity partition numbers of abstract spaces will be presented. The main objective is to show that a conjecture of J. Eckhoff relating the Tverberg numbers to the Radon number is valid for a certain class of spaces which include ordered sets, trees, pairwise products of trees and subspaces of these. (Application of the Main Theorem to a certain class of semilattices is given in an appendix.) For ordered sets the results here improve those of P. W. Bean and are best possible for general ordered sets. |
Mathematical Subject Classification 2000
Primary: 52A01
Secondary: 05A17, 06A99
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Milestones
Received: 19 November 1979
Published: 1 September 1981
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Authors |
| Robert Edward Jamison, II | |
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