### Applications of PCF theory

by Shelah. [Sh:589]

J Symbolic Logic, 2000

We deal with several pcf problems; we characterize another
version of exponentiation: number of kappa-branches in a tree
with lambda nodes, deal with existence of independent sets in
stable theories, possible cardinality of ultraproduct, the depth of
ultraproducts of Boolean Algebras. Also we give cardinal invariant
for each lambda with pcf restriction and investigate further
T_D(f) .

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