Applications of the topological representation of the pcf-structure (Q938245)
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scientific article; zbMATH DE number 5313057
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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0.8578034
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0.85504574
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0.84282315
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0.8424189
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0.8367887
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