Non-regular ultrafilters
type: Item
instance of: scholarly article
title: Non-regular ultrafilters
zbMATH Open document ID: 0809.03033
DOI: 10.1007/BF02772999
author: Markus Huberich
published in: Israel Journal of Mathematics
publication date: 1994-09-27T00:00:00Z
review text: The author constructs nonregular ultrafilters. He generalizes results of Laver and of Foreman, Magidor and Shelah by giving a construction without using \(\diamondsuit_ \kappa\). The ultrafilters obtained are dual to dense or layered ideals.
Mathematics Subject Classification ID: 03E05
zbMATH DE Number: 645161
zbMATH Keywords: nonregular ultrafilters
zbMATH Keywords: layered ideals
reviewed by: Martin Weese
MaRDI profile type: Publication
cites work: Refinement Properties and Extensions of Filters in Boolean Algebras
cites work: Regularity of ultrafilters and the core model
cites work: Q3944594
cites work: Martin's maximum, saturated ideals, and nonregular ultrafilters. I
cites work: Large ideals on small cardinals
cites work: Weakly Normal Filters and Irregular Ultrafilters
cites work: Nonregular Ultrafilters and Large Cardinals
cites work: Boolean extensions and measurable cardinals
cites work: Q3320360
cites work: On a problem of Gillman and Keisler
cites work: Around classification theory of models
cites work: On saturated sets of ideals and Ulam's problem
full work available at URL: https://doi.org/10.1007/bf02772999
OpenAlex ID: W2046325809
description: scientific article; zbMATH DE number 645161