Cardinal characteristics at ℵω

S. Garti*, M. Gitik, S. Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We prove the consistency of uℵω<2ℵω. We also show that the consistency strength of this statement is the existence of a measurable cardinal κ with o(κ) = κ+ +.

Original languageEnglish
Pages (from-to)320-336
Number of pages17
JournalActa Mathematica Hungarica
Volume160
Issue number2
DOIs
StatePublished - 1 Apr 2020

Funding

FundersFunder number
Seventh Framework Programme338821
European Research Council
Israel Science Foundation1216/18

    Keywords

    • consistency strength
    • pcf theory
    • ultrafilter number

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