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On a continuous
analog of Sperner’s problem
Lawrence Hueston Harper |
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Vol. 118 (1985), No. 2, 411–425
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Abstract |
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An approach to Rota’s
question about the lattice of partitions is presented. Calculations, based upon
the assumption that the lattice of partitions may be approximated by a
Gaussian process, indicate that the ratio of the cardinality of the largest set of
incomparable partitions to the largest rank is at least 1∕ |
Mathematical Subject Classification 2000
Primary: 05A05
Secondary: 06A99
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Milestones
Received: 11 October 1984
Published: 1 June 1985
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Authors |
| Lawrence Hueston Harper | |
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