Some coloring properties for uncountable cardinals (Q1097879)
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scientific article; zbMATH DE number 4035817
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some coloring properties for uncountable cardinals |
scientific article; zbMATH DE number 4035817 |
Statements
Some coloring properties for uncountable cardinals (English)
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1987
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The author considers generalizations of the Galvin-Prikry Theorem and the Dual Ramsey Theorem of Carlson-Simpson to higher cardinals. The Galvin- Prikry type results lead to Ramsey and measurable cardinals. In dual Ramsey Theory one colors a set of partitions of a set X and then asks for a partition P of X such that all partitions refined by p have the same color. The author gives some results on the size of P if the set of two- element partitions is colored.
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Ramsey cardinal
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Galvin-Prikry Theorem
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Dual Ramsey Theorem
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higher cardinals
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measurable cardinals
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partitions
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0.90156204
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0.8983303
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0.88285905
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0.8794133
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0.87841165
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0.87651014
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0.87611616
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0.8715933
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0.8705431
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