Depth of Boolean algebras (Q645747)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Depth of Boolean algebras |
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Depth of Boolean algebras (English)
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10 November 2011
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Main theorem: If \(D\) is a uniform ultrafilter on \(\kappa\), \(\lambda\geq\text{cf}(\lambda)>\kappa\), \(\lambda=\lambda^\kappa\), and \(\text{Depth}^+(B_i)\leq\lambda\) for every \(i<\kappa\), then \(\text{Depth}^+(\prod_{i<\kappa}B_i/D)\leq\lambda^+\).
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depth
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Boolean algebras
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constructibility
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ultrafilter
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