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Applications of the topological representation of the pcf-structure - MaRDI portal

Applications of the topological representation of the pcf-structure (Q938245)

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scientific article; zbMATH DE number 5313057
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Applications of the topological representation of the pcf-structure
scientific article; zbMATH DE number 5313057

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    Applications of the topological representation of the pcf-structure (English)
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    18 August 2008
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    For details regarding PCF theory, reference may be made to \textit{S. Shelah}'s papers of the 1980's or his book [Cardinal arithmetic. Oxford: Clarendon Press (1994; Zbl 0848.03025)]. From the abstract: ``In this paper, the author considers simplified representation theorems in pcf-theory, and in particular he proves that if \(\aleph_\omega^{\aleph_0} > \aleph_{\omega_1}\cdot 2^{\aleph_0}\) 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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    pcf-theory
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    pcf-topology
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    sequentiality
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