On universal graphs without instances of CH

Saharon Shelah*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

We first prove the consistency of: there is a universal graph of power א1<2א0 = 2א12. The consistency of the non-existence of a universal graph of power א1 is trivial. Add א2 Cohen generic reals. We then show that we can have 2א02<2א1, and get similar results for other cardinals.

Original languageEnglish
Pages (from-to)75-87
Number of pages13
JournalAnnals of Pure and Applied Logic
Volume26
Issue number1
DOIs
StatePublished - Feb 1984

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