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Cardinal characteristics at $$\aleph_\omega$$

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We prove the consistency of $$\mathfrak{u}_{\aleph_\omega} < 2^{\aleph_\omega}$$. We also show that the consistency strength of this statement is the existence of a measurable cardinal $$\kappa$$ with $$o(\kappa) = \kappa^{++}$$… Click to show full abstract

We prove the consistency of $$\mathfrak{u}_{\aleph_\omega} < 2^{\aleph_\omega}$$. We also show that the consistency strength of this statement is the existence of a measurable cardinal $$\kappa$$ with $$o(\kappa) = \kappa^{++}$$ .

Keywords: cardinal characteristics; kappa; characteristics aleph; aleph omega

Journal Title: Acta Mathematica Hungarica
Year Published: 2019

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