Ultrafilters with small generating sets

Andreas Blass; Saharon Shelah

doi:10.1007/BF02764864

Ultrafilters with small generating sets

Andreas Blass^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

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

40 Scopus citations

Abstract

It is consistent, relative to ZFC, that the minimum number of subsets of ω generating a non-principal ultrafilter is strictly smaller than the dominating number. In fact, these two numbers can be any two prescribed regular cardinals.

Original language	English
Pages (from-to)	259-271
Number of pages	13
Journal	Israel Journal of Mathematics
Volume	65
Issue number	3
DOIs	https://doi.org/10.1007/BF02764864
State	Published - Oct 1989

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abstract = "It is consistent, relative to ZFC, that the minimum number of subsets of ω generating a non-principal ultrafilter is strictly smaller than the dominating number. In fact, these two numbers can be any two prescribed regular cardinals.",

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Ultrafilters with small generating sets

Abstract

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