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PCF theory PCF theory is the name of a mathematical theory, introduced by Saharon , 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". == Main definitions == If ''A'' is an infinite set of regular cardinals, ''D'' is an ultrafilter on ''A'', then we let denote the cofinality of the ordered set of functions where the ordering is defined as follows.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「PCF theory」の詳細全文を読む
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