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Bounded, Finitely Additive, but Not Absolutely Continuous Set Functions (open access)

Bounded, Finitely Additive, but Not Absolutely Continuous Set Functions

In leading up to the proof, methods for constructing fields and finitely additive set functions are introduced with an application involving the Tagaki function given as an example. Also, non-absolutely continuous set functions are constructed using Banach limits and maximal filters.
Date: May 1989
Creator: Gurney, David R. (David Robert)
System: The UNT Digital Library