Aug 8, 2011 · Title:How high can Baumgartner's {\cal I}-ultrafilters lie in the P-hierarchy? ... View a PDF of the paper titled How high can Baumgartner's ...

Apr 2, 2015 · Under the continuum hypothesis we prove that for any tall P-ideal I o n ω and for any ordinal γ ≤ ω 1 there is an I -ultrafilter in the ...

Abstract. Under CH we prove that for any tall ideal I on ω and for any ordinal γ ≤ ω1 there is an I-ultrafilter (in the sense of Baumgartner),.

Under CH we prove that for any tall ideal $\cal I$ on $\omega$ and for any ordinal $\gamma \leq \omega_1$ there is an ${\cal I}$-ultrafilter (in the sense ...

Under the continuum hypothesis we prove that for any tall P ... How high can Baumgartner's I {\mathcal{I}} I I -ultrafilters lie in the P-hierarchy?

Since the class of \({\mathcal{P}_2}\) ultrafilters coincides with the class of P-points, our result generalizes the theorem of Flašková, which states that ...

Under CH we prove that for any tall ideal $\cal I$ on $\omega$ and for any ordinal $\gamma \leq \omega_1$ there is an ${\cal I}$-ultrafilter (in the sense ...

Machura M., Starosolski A. How high can Baumgartner's $${\mathcal{I}}$$ I -ultrafilters lie in the P-hierarchy? // Archive for Mathematical Logic. 2015. Vol. 54 ...

How high can Baumgartner's $${\mathcal{I}}$$ I -ultrafilters lie in the P-hierarchy? https://doi.org/10.1007/s00153-015-0427-x · Full text.

Under CH we prove that for any tall ideal \cal I on \omega and for any ordinal \gamma \leq \omega_1 there is an {\cal I}-ultrafilter (in the sense of ...