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Applications of PCF Theory

Saharon Shelah
The Journal of Symbolic Logic
Vol. 65, No. 4 (Dec., 2000), pp. 1624-1674
DOI: 10.2307/2695067
Stable URL: http://www.jstor.org/stable/2695067
Page Count: 51
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Applications of PCF Theory
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Abstract

We deal with several pcf problems: we characterize another version of exponentiation: maximal number of κ-branches in a tree with λ nodes, deal with existence of independent sets in stable theories, possible cardinalities of ultraproducts and the depth of ultraproducts of Boolean Algebras. Also we give cardinal invariants for each λ with a pcf restriction and investigate further TD(f). The sections can be read independently, although there are some minor dependencies.

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