The near coherence of filters principle does not imply the filter dichotomy principle

Heike Mildenberger*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We show that there is a forcing extension in which any two ultrafilters on ω are nearly coherent and there is a non-meagre filter that is not nearly ultra. This answers Blass' longstanding question (1989) of whether the principle of near coherence of filters is strictly weaker than the filter dichotomy principle.

Original languageEnglish
Pages (from-to)2305-2317
Number of pages13
JournalTransactions of the American Mathematical Society
Volume361
Issue number5
DOIs
StatePublished - May 2009

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