The Following definitions are from the book Measure Theory, by Paul R. Halmos. Aside from the basic definitions, these definitions have tiny size so there will be no attached files associated with the following contents, however, one may find the pdf version by clicking the address short after this intro section.
Tianyu Zhang
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Set Function
Definition
A set function is a function whose domain of definition is a class of sets.
Reference
Measure Theory, Paul R. Halmos, Chapter 2 Section 7
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