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Spectra of Tukey types of ultrafilters on Boolean algebras

Abstract

Extending recent investigations on the structure of Tukey types of ultrafilters on P(Ο‰)\mathcal{P}(\omega) to Boolean algebras in general, we classify the spectra of Tukey types of ultrafilters for several classes of Boolean algebras, including interval algebras, tree algebras, and pseudo-tree algebras.Comment: 18 page

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