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Applications of PCF theory

Published online by Cambridge University Press:  12 March 2014

Saharon Shelah
Affiliation:
Institute of Mathematics, The Hebrew University, Jerusalem, Israel Rutgers University, Department of Mathematics, New Brunswick, NJ, USA, E-mail:shelah@math.huji.ac.il
Corresponding
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Abstract

We deal with several pcf problems: we characterize another version of exponentiation: maximal number of k-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.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2000

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