… sets for stable theories. [Bay has continued work in [Sh:c] on existence of independent sets
(in the sense of non-forking) for stable theories. We connect those problems to pcf and shed …

… contain many further applications. We assume only a knowledge of basic set theory (see, eg…
results of the pcf theory which were not needed for the applications of the previous sections. …

… We deal with several pcf … 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 …

Let be a regular uncountable cardinal, and a cardinal greater than or equal to . Revisiting a
celebrated result of Shelah, we show that if is close to and (= the least size of a cofinal subset …

… More importantly, the new way of seeing things which is suggested by PCF theory is helpful
in phrasing new theorems. A good example to an application of PCF theory in topology is …

… Hardly any background is needed to state the pcf theorem we are using here. However,
an interested reader can find presentations of pcf theory in either [3], the second author's [8] …

… If f is some function or operation, then fx is used to represent the sequence fx1; fx2 :::; with
the exception that if f and the x are terms then fx represents repeated application, fx1 x2 :::: If …

… are not about pcf theory itself, but present applications of the theory. I believe that those
parts of the book will be more accessible to a reader familiar with pcf theory, as presented here. …

… from pcf-theory. We will use the notation and terminology of [1]. A set A ⊂ Reg is progressive
iff |A| < min(A). The proofs of the next two proposition are standard applications of pcf theory…

… Our theoretical study has shown that it is possible to simultaneously achieve high birefringence,
and low confinement losses with high sensitivity for various analytes. Also, simulation …