Dowker filters and Magidor forcing (1909.11891v1)

Published 26 Sep 2019 in math.LO

Abstract: We prove that the consistency of the existence of a Dowker filter at $\kappa^+$ along with $2^{\kappa=\kappa^+$} where $\kappa$ is regular and uncountable. Using Magidor forcing we also prove the consistency of the existence of a Dowker filter at $\mu^+$ where $\mu>{\rm cf}(\mu)>\omega$.

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