Geodesic
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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DOI

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. 
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
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