Applications of the topological representation of the pcf-structure

Archive for Mathematical Logic 47 (5):517-527 (2008)
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Abstract

We consider simplified representation theorems in pcf-theory and, in particular, we prove that if ${\aleph_{\omega}^{\aleph_{0}} > \aleph_{\omega_{1}}\cdot2^{\aleph_{0}}}$ then there are cofinally many sequences of regular cardinals such that ${\aleph_{\omega_{1}+1}}$ is represented by these sequences modulo the ideal of finite subsets, using a topological approach to the pcf-structure

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References found in this work

Shelah's pcf theory and its applications.Maxim R. Burke & Menachem Magidor - 1990 - Annals of Pure and Applied Logic 50 (3):207-254.
Remarks on superatomic boolean algebras.James E. Baumgartner & Saharon Shelah - 1987 - Annals of Pure and Applied Logic 33 (C):109-129.
On well-generated Boolean algebras.Robert Bonnet & Matatyahu Rubin - 2000 - Annals of Pure and Applied Logic 105 (1-3):1-50.
Remarks on superatomic Boolean algebras.J. E. Baumgartner - 1987 - Annals of Pure and Applied Logic 33 (2):109.

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