DOWKER FILTERS and MAGIDOR FORCING

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Abstract

We prove that the existence of a Dowker filter at κ+, where κ is regular and uncountable, is consistent with 2κ = κ+. We also prove the consistency of a Dowker filter at μ+ where μ > cf(μ) > ω. This can be forced with 2μ = μ+ as well.

Original languageAmerican English
Pages (from-to)4079-4089
Number of pages11
JournalProceedings of the American Mathematical Society
Volume148
Issue number9
DOIs
StatePublished - Sep 2020

Bibliographical note

Publisher Copyright:
© 2020 American Mathematical Society. All rights reserved.

Keywords

  • Dowker filters
  • Magidor forcing
  • The continuum hypothesis

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