Spectra of Tukey types of ultrafilters on Boolean algebras
Jennifer A. Brown, Natasha Dobrinen
TL;DR
This paper classifies the spectra of Tukey types of ultrafilters across various Boolean algebras, extending previous work on the power set of natural numbers to broader algebraic structures.
Contribution
It provides a comprehensive classification of Tukey spectra for ultrafilters on different classes of Boolean algebras, generalizing earlier results.
Findings
Classified Tukey spectra for ultrafilters on interval algebras
Classified Tukey spectra for ultrafilters on tree algebras
Classified Tukey spectra for ultrafilters on pseudo-tree algebras
Abstract
Extending recent investigations on the structure of Tukey types of ultrafilters on 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.
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