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Basic: Cofinalities Of Small Reduced Products [Sh 345a]
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Abstract
After giving the standard definition of cofinality of a partial order and reduced products (of ordinals) (in Def 1.1) we present one of the book’s main Definitions (1.2): for a set a of regular cardinals, pcf(a) is the set of the cardinals 0 which has the form: θ is the cofinality of π a/ D, D an ultrafilter on a. (Essentially a is always, after 1.4, a set of regular cardinals : ≥/a/ so we shall not always remember to state this).
Title: Basic: Cofinalities Of Small Reduced Products [Sh 345a]
Description:
Abstract
After giving the standard definition of cofinality of a partial order and reduced products (of ordinals) (in Def 1.
1) we present one of the book’s main Definitions (1.
2): for a set a of regular cardinals, pcf(a) is the set of the cardinals 0 which has the form: θ is the cofinality of π a/ D, D an ultrafilter on a.
(Essentially a is always, after 1.
4, a set of regular cardinals : ≥/a/ so we shall not always remember to state this).
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