# Pseudo P-points and splitting number

@article{Dow2019PseudoPA,
title={Pseudo P-points and splitting number},
author={Alan Dow and Saharon Shelah},
journal={Archive for Mathematical Logic},
year={2019},
pages={1-23}
}
• Published 13 February 2018
• Mathematics
• Archive for Mathematical Logic
We construct a model in which the splitting number is large and every ultrafilter has a small subset with no pseudo-intersection.
4 Citations

### On the bounding, splitting, and distributivity numbers

• Mathematics
• 2022
The cardinal invariants h, b, s of Ppωq are known to satisfy that ω1 ď h ď mintb, su. We prove that all inequalities can be strict. We also introduce a new upper bound for h and show that it can be

### LIST OF PUBLICATIONS

1. Sh:a Saharon Shelah. Classification theory and the number of nonisomorphic models, volume 92 of Studies in Logic and the Foundations of Mathematics. North-Holland Publishing Co., Amsterdam-New

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