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Splitting \({\mathcal P}_\kappa \lambda\) into maximally many stationary sets - MaRDI portal

Splitting \({\mathcal P}_\kappa \lambda\) into maximally many stationary sets (Q1969011)

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scientific article; zbMATH DE number 1415574
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English
Splitting \({\mathcal P}_\kappa \lambda\) into maximally many stationary sets
scientific article; zbMATH DE number 1415574

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    Splitting \({\mathcal P}_\kappa \lambda\) into maximally many stationary sets (English)
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    22 June 2000
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    Let \(\kappa\) be a regular uncountable cardinal and let \(\lambda\) be a cardinal, \(\lambda > \kappa\). In this paper the author shows that \({\mathcal P}_{\kappa}\lambda = \{x\subseteq\lambda : |x|<\kappa\}\) can be decomposed into \(\lambda^{\omega}\) pairwise disjoint stationary sets, and when \(\text{ cf} \lambda < \kappa\) then \({\mathcal P}_{\kappa}\lambda\) can be decomposed into \(\lambda^+\) pairwise disjoint stationary sets.
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    combinatorics of \({\mathcal P}_{\kappa}\lambda\)
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    stationary sets in \({\mathcal P}_{\kappa}\lambda\)
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    splitting stationary sets
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