Nice ℵ1 generated non-P-points, Part I

Saharon Shelah

doi:10.1002/malq.202200070

Nice ℵ₁ generated non-P-points, Part I

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We define a family of non-principal ultrafilters on (Formula presented.) which are, in a sense, very far from P-points. We prove the existence of such ultrafilters under reasonable conditions. In subsequent articles, we intend to prove that such ultrafilters may exist while no P-point exists. Though our primary motivations came from forcing and independence results, the family of ultrafilters introduced here should be interesting from combinatorial point of view too.

Original language	English
Pages (from-to)	117-129
Number of pages	13
Journal	Mathematical Logic Quarterly
Volume	69
Issue number	1
DOIs	https://doi.org/10.1002/malq.202200070
State	Published - Feb 2023

Bibliographical note

Publisher Copyright:
© 2023 The Authors. Mathematical Logic Quarterly published by Wiley-VCH GmbH.

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Cite this

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Nice ℵ₁ generated non-P-points, Part I

Abstract

Bibliographical note

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