Abstract

Suppose that κ is a regular uncountable cardinal. It has been known that the club filter on P ω 1 κ can be presaturated. In this paper we extend the result to the case of P μ κ , where μ is a regular uncountable cardinal ≤ κ . This involves suitably weakening the notion of presaturation. A new reflection principle for stationary sets in P κ λ plays a key role.

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