http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
This book is an introduction into modern cardinal arithmetic in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice (ZFC). A first part describes the classical theory developed by Bernstein, Cantor, Hausdorff, König and Tarski between 1870 and 1930. Next, the development in the 1970s led by Galvin, Hajnal and Silver is characterized. The third part presents the fundamental investigations in pcf theory which have been worked out by Shelah to answer the questions left open in the 1970s.
Foundations -- The Galvin-Hajnal theorem -- Ordinal functions -- Approximation sequences -- Generators of T<[lambda]+(a) -- The supremum of pcf[mu](a) -- Local properties -- Applications of pcf-theory -- The cardinal function pp([lambda]).