The partition property for certain extendible measures on supercompact cardinals
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- by Donald H. Pelletier PDF
- Proc. Amer. Math. Soc. 81 (1981), 607-612 Request permission
Abstract:
We give an alternate characterization of a combinatorial property of measures on ${p_\kappa }\lambda$ introduced by Menas. We use this characterization to prove that if $\kappa$ is supercompact, then all measures on ${p_\kappa }\lambda$ in a certain class have the partition property. This result is applied to obtain a self-contained proof that if $\kappa$ is supercompact and $\lambda$ is the least measurable cardinal greater than $\kappa$, then Solovay’s "glue-together" measures on ${p_\kappa }\lambda$ are not ${2^\lambda }$-extendible.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 81 (1981), 607-612
- MSC: Primary 03E55; Secondary 04A10, 04A20
- DOI: https://doi.org/10.1090/S0002-9939-1981-0601740-X
- MathSciNet review: 601740