Set theory without choice: Not everything on cofinality is possible

Saharon Shelah

doi:10.1007/s001530050057

Set theory without choice: Not everything on cofinality is possible

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

16 Scopus citations

Abstract

We prove in ZF+DC, e.g. that: if μ = |ℋ(μ)| and μ > cf(μ) > א₀ then μ⁺ is regular but non measurable. This is in contrast with the results on measurability for μ = א_ω due to Apter and Magidor [ApMg].

Original language	English
Pages (from-to)	81-125
Number of pages	45
Journal	Archive for Mathematical Logic
Volume	36
Issue number	2
DOIs	https://doi.org/10.1007/s001530050057
State	Published - Feb 1997

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abstract = "We prove in ZF+DC, e.g. that: if μ = |ℋ(μ)| and μ > cf(μ) > א0 then μ+ is regular but non measurable. This is in contrast with the results on measurability for μ = אω due to Apter and Magidor [ApMg].",

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Set theory without choice: Not everything on cofinality is possible

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