Shelah Ultrafilters

Fuente: arXiv
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Detalles Bibliográficos
Autores principales: Balderas, Emmanuel, Chodounský, David, Guzmán, Osvaldo
Formato: Preprint
Publicado: 2025
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author Balderas, Emmanuel
Chodounský, David
Guzmán, Osvaldo
author_facet Balderas, Emmanuel
Chodounský, David
Guzmán, Osvaldo
contents In this paper, we study a special type of ultrafilter which we call Shelah ultrafilter. We show that it is possible to add a Shelah ultrafilter using a special forcing notion. We also show that Shelah ultrafilters turn out to be I-ultrafilters for many Borel ideals.
format Preprint
id arxiv_https___arxiv_org_abs_2512_08081
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Shelah Ultrafilters
Balderas, Emmanuel
Chodounský, David
Guzmán, Osvaldo
Logic
In this paper, we study a special type of ultrafilter which we call Shelah ultrafilter. We show that it is possible to add a Shelah ultrafilter using a special forcing notion. We also show that Shelah ultrafilters turn out to be I-ultrafilters for many Borel ideals.
title Shelah Ultrafilters
topic Logic
url https://arxiv.org/abs/2512.08081