Set theory without choice: Not everything on cofinality is possible

Saharon Shelah*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 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 = אω due to Apter and Magidor [ApMg].

Original languageEnglish
Pages (from-to)81-125
Number of pages45
JournalArchive for Mathematical Logic
Volume36
Issue number2
DOIs
StatePublished - Feb 1997

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