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On a combinatorial property of menas related to the partition property for measures on supercompact cardinals
Published online by Cambridge University Press: 12 March 2014
Abstract
T.K. Menas [4, pp. 225–234] introduced a combinatorial property Χ(μ) of a measure μ on a supercompact cardinal κ and proved that measures with this property also have the partition property. We prove here that Menas' property is not equivalent to the partition property. We also show that if a is the least cardinal greater than κ such that Pκα bears a measure without the partition property, then α is inaccessible and -indescribable.
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- Research Article
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- Copyright © Association for Symbolic Logic 1983
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