PCF Theory

PCF theory is the name of a mathematical theory, introduced by Saharon Shelah (1978), that deals with the cofinality of the ultraproducts of ordered sets. It gives strong upper bounds on the cardinalities of power sets of singular cardinals, and has many more applications as well. The abbreviation "PCF" stands for "possible cofinalities".

Read more about PCF Theory:  Main Definitions, Main Results, Unsolved Problems, Applications

Other articles related to "pcf theory, theory":

PCF Theory - Applications
... The theory has found a great deal of applications, besides cardinal arithmetic ... In the meantime, many further applications have been found in Set Theory, Model Theory, Algebra and Topology ...

Famous quotes containing the word theory:

    In the theory of gender I began from zero. There is no masculine power or privilege I did not covet. But slowly, step by step, decade by decade, I was forced to acknowledge that even a woman of abnormal will cannot escape her hormonal identity.
    Camille Paglia (b. 1947)