Jennifer A. Brown, Natasha Dobrinen
Published 2014-06-09, updated 2015-03-18Version 2
Extending recent investigations on the structure of Tukey types of ultrafilters on $\mathcal{P}(\omega)$ 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.
A connection between decomposability of ultrafilters and possible cofinalities
Superatomic Boolean algebras constructed from strongly unbounded functions
The spectrum of characters of ultrafilters on omega
![QR code for arXiv:1406.2084 [math.LO]](http://oss.arxitics.com/images/favicon.svg)