Ultrafilters in the random real model

Abstract We prove that P -points (even strong P-points) and Gruff ultrafilters exist in any forcing extension obtained by adding fewer than $\aleph _{\omega } $ -many random reals to a model of CH. These results improve and correct previous theorems that can be found in the literature.

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Publication Details

Journal
Canadian Journal of Mathematics
Published
2025-08-29
DOI
https://doi.org/10.4153/s0008414x25101508
Citations
1
Primary Topic
Groundwater flow and contamination studies
Type
article
Field-Weighted Citation Impact
0.80
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article

Ultrafilters in the random real model

Alan Dow
1 citations
Canadian Journal of Mathematics
Groundwater flow and contamination studies
0.80
article

Ultrafilters in the random real model

Alan Dow
article en
1 citations

Abstract

Abstract We prove that P -points (even strong P-points) and Gruff ultrafilters exist in any forcing extension obtained by adding fewer than $\aleph _{\omega } $ -many random reals to a model of CH. These results improve and correct previous theorems that can be found in the literature.

Canadian Journal of Mathematics
University of North Carolina at Charlotte (US), Universidad Nacional Autónoma de México (MX)
Openalex Percentile: Top 25%
Groundwater flow and contamination studies
0.80
DOIOpen Access PDFOpenAlex
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Ultrafilters in the random real model — Alan Dow · Canadian Journal of Mathematics (2025) | TGRS Research Map | TGRS