Rudin-Keisler Posets of Complete Boolean Algebras

Mathematical Logic Quarterly 47 (4):447-454 (2001)
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Abstract

The Rudin-Keisler ordering of ultrafilters is extended to complete Boolean algebras and characterised in terms of elementary embeddings of Boolean ultrapowers. The result is applied to show that the Rudin-Keisler poset of some atomless complete Boolean algebras is nontrivial

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