On a Combinatorial Property of Menas Related to the Partition Property for Measures on Supercompact Cardinals
Kunen, Kenneth ; Pelletier, Donald H.
J. Symbolic Logic, Tome 48 (1983) no. 1, p. 475-481 / Harvested from Project Euclid
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T. K. Menas [4, pp. 225-234] introduced a combinatorial property $\chi (\mu)$ of a measure $\mu$ on a supercompact cardinal $\kappa$ 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 $\alpha$ is the least cardinal greater than $\kappa$ such that $P_\kappa\alpha$ bears a measure without the partition property, then $\alpha$ is inaccessible and $\Pi^2_1$-indescribable.
Publié le : 1983-06-14
Classification:  
@article{1183741262,
     author = {Kunen, Kenneth and Pelletier, Donald H.},
     title = {On a Combinatorial Property of Menas Related to the Partition Property for Measures on Supercompact Cardinals},
     journal = {J. Symbolic Logic},
     volume = {48},
     number = {1},
     year = {1983},
     pages = { 475-481},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183741262}
}

Kunen, Kenneth; Pelletier, Donald H. On a Combinatorial Property of Menas Related to the Partition Property for Measures on Supercompact Cardinals. J. Symbolic Logic, Tome 48 (1983) no. 1, pp.  475-481. http://gdmltest.u-ga.fr/item/1183741262/