DOWKER FILTERS and MAGIDOR FORCING

Shimon Garti; Yair Hayut

doi:10.1090/proc/15047

DOWKER FILTERS and MAGIDOR FORCING

Shimon Garti, Yair Hayut

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

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 language	English
Pages (from-to)	4079-4089
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	148
Issue number	9
DOIs	https://doi.org/10.1090/proc/15047
State	Published - 1 Sep 2020
Externally published	Yes

Keywords

Dowker filters
Magidor forcing
The continuum hypothesis

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/proc/15047

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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.",

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KW - The continuum hypothesis

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DOWKER FILTERS and MAGIDOR FORCING

Abstract

Keywords

ASJC Scopus subject areas

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