On ultrafilters in ZF models and indecomposable ultrafilters

2024/03/14 by Eilon Bilinsky, Bilinsky, Eilon, Moti Gitik +1
Decision Sciences · Economics, Econometrics and Finance · #03E25 #03E35 #03E55 #Auction Theory and Applications #Economic theories and models #FOS: Mathematics #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.2403.09329

openalex publication_date 2024/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use indecomposable ultrafilters to answer some questions of Hayut, Karagila paper "Spectra of uniformity". It is shown that the bound on the strength by T. Usuba "A note on uniform ultrafilters in choiceless context" is optimal.

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