Some variations on the partition property for normal ultrafilters on Pkl
Fundamenta Mathematicae, Tome 142 (1993) no. 2, pp. 163-171.

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Suppose κ is a supercompact cardinal and λ≥κ. In [3], we studied the relationship between the weak partition property and the partition property for normal ultrafilters on $P_κλ$. In this paper we study a hierarchy of properties intermediate between the weak partition property and the partition property. Given appropriate large cardinal assumptions, we show that these properties are not all equivalent.
DOI : 10.4064/fm-142-2-163-171

Julius Barbanel 1

1
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Julius Barbanel. Some variations on the partition property for normal ultrafilters on Pkl. Fundamenta Mathematicae, Tome 142 (1993) no. 2, pp. 163-171. doi : 10.4064/fm-142-2-163-171. http://geodesic.mathdoc.fr/articles/10.4064/fm-142-2-163-171/

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