Ultrafilters with small generating sets

Andreas Blass*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

36 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 languageEnglish
Pages (from-to)259-271
Number of pages13
JournalIsrael Journal of Mathematics
Volume65
Issue number3
DOIs
StatePublished - Oct 1989

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