Universal graphs without instances of CH: Revisited
type: Item
instance of: scholarly article
title: Universal graphs without instances of CH: Revisited
zbMATH Open document ID: 0709.03039
DOI: 10.1007/BF02807219
author: S. Shelah
published in: Israel Journal of Mathematics
publication date: 1990-01-01T00:00:00Z
review text: In an earlier paper [Ann. Pure Appl. Logic 26, 75-87 (1984; Zbl 0551.03032)] the author has shown that it is consistent that CH does not hold and there is a universal graph of size \(\omega_ 1\). Here this is generalized to higher cardinals, namely that there may exist a universal graph of size \(\lambda\), where \(\lambda\) is regular and for some \(\kappa\), \(\kappa =\kappa^{<\kappa}<\lambda <2^{\kappa}\) holds.
Mathematics Subject Classification ID: 03E35
Mathematics Subject Classification ID: 05C99
zbMATH DE Number: 4164830
zbMATH Keywords: ccc forcing
zbMATH Keywords: regular cardinal
zbMATH Keywords: universal graph
reviewed by: Péter Komjáth
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4164830