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math.LO2011
A Ramsey-Classification Theorem and its Application in the Tukey Theory of Ultrafilters
Natasha Dobrinen, Stevo Todorcevic
Motivated by a Tukey classification problem we develop here a new topological Ramsey space that in its complexity comes immediately after the classical is a natural…
math.LO2011★ 2 cited
Continuous cofinal maps on ultrafilters
Natasha Dobrinen
An ultrafilter on a countable base {\em has continuous Tukey reductions} if whenever an ultrafilter is Tukey reducible to , then every mono…
math.LO2011
Tukey types of ultrafilters
Natasha Dobrinen, Stevo Todorcevic
We investigate the structure of the Tukey types of ultrafilters on countable sets partially ordered by reverse inclusion. A canonization of cofinal maps from a p-point into another…