Rapid ultrafilters and summable ideals

2012/08/17 by Jana Flašková, Flašková, Jana
Mathematics · #FOS: Mathematics #Logic (math.LO) #math.LO

paper · pdf · doi:10.48550/arxiv.1208.3690

arxiv created 2012/08/17 · arxiv updated 2012/08/21

Abstract

This note answers the following question: Is it consistent that for an arbitrary tall summable ideal I_g there exists an I_g-ultrafilter which is not rapid? We show that assuming Martin's Axiom for σ-centered posets such ultrafilters exist for each tall summable ideal I_g.

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