Universal graphs without instances of CH: Revisited (Q920985)
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scientific article; zbMATH DE number 4164830
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Universal graphs without instances of CH: Revisited |
scientific article; zbMATH DE number 4164830 |
Statements
Universal graphs without instances of CH: Revisited (English)
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1990
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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.
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ccc forcing
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regular cardinal
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universal graph
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