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| In mathematics, an ineffable cardinal is a certain kind of large cardinal number. Formally, a cardinal number κ is ineffable if and only if for every f: κ 2 → {0, 1}, there is a stationary subset of κ that is homogeneous for f. κ is n -ineffabl |
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In mathematics, an ineffable cardinal is a certain kind of large cardinal number.
Formally, a cardinal number κ is ineffable if and only if for every f: κ 2 → {0, 1}, there is a stationary subset of κ that is homogeneous for f.
κ is n-ineffable (for a positive integer n) if and only if for every f: κ n → {0, 1}, there is a stationary subset of κ that is homogeneous for f.
A totally ineffable cardinal is a cardinal that is n-ineffable for every n. If κ is n+1-ineffable, then the set of n-ineffable cardinals below κ is a stationary subset of κ.
Category:Large cardinals
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Dieser Artikel basiert auf dem Artikel Ineffable cardinal aus der freien Enzyklo. Wikipedia und steht unter der GNU Lizenz für freie Dokumentation. Die Liste der Autoren ist in der Wikipedia unter dieser Seite verfügbar, der Artikel kann hier bearbeitet werden.
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