Cardinal characteristics at ℵω

S. Garti; M. Gitik; S. Shelah

doi:10.1007/s10474-019-00971-0

Cardinal characteristics at ℵ_ω

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

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	320-336
Number of pages	17
Journal	Acta Mathematica Hungarica
Volume	160
Issue number	2
DOIs	https://doi.org/10.1007/s10474-019-00971-0
State	Published - 1 Apr 2020

Keywords

consistency strength
pcf theory
ultrafilter number

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10.1007/s10474-019-00971-0

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title = "Cardinal characteristics at ℵω ",

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+ +.",

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Cardinal characteristics at ℵ_ω

Abstract

Keywords

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