Some variations on the partition property for normal ultrafilters on Pkl

Volume 142 / 1993

Julius Barbanel Fundamenta Mathematicae 142 (1993), 163-171 DOI: 10.4064/fm-142-2-163-171

Abstract

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.

Authors

  • Julius Barbanel

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