Sigma-additive set function: Difference between revisions

Content deleted Content added
Citation bot (talk | contribs)
Add: authors 1-1. Removed URL that duplicated identifier. Removed parameters. Some additions/deletions were parameter name changes. | Use this bot. Report bugs. | #UCB_CommandLine
 
Line 73:
See [[Measure (mathematics)|measure]] and [[signed measure]] for more examples of {{sigma}}-additive functions.
 
A ''charge'' is defined to be a finitely additive set function that maps <math>\varnothing</math> to <math>0.</math><ref>{{Cite book|lastlast1=Bhaskara Rao|firstfirst1=K. P. S.|first2=M. |last2=Bhaskara Rao|url=https://www.worldcat.org/oclc/21196971|title=Theory of charges: a study of finitely additive measures|date=1983|publisher=Academic Press|isbn=0-12-095780-9|___location=London|pages=35|oclc=21196971}}</ref> (Cf. [[ba space]] for information about ''bounded'' charges, where we say a charge is ''bounded'' to mean its range is a bounded subset of ''R''.)
 
===An additive function which is not &sigma;-additive===