Caratheodory extension theorem/Definition: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Jitse Niesen
(A countably additive non-negative function on an algebra of subsets can be extended to be a measure on the σ-algebra generated by that algebra.)
 
imported>Jitse Niesen
(shorten)
 
Line 1: Line 1:
<noinclude>{{Subpages}}</noinclude>
<noinclude>{{Subpages}}</noinclude>
A countably additive non-negative function on an algebra of subsets can be extended to be a measure on the &sigma;-algebra generated by that algebra.
A countably additive non-negative function on an algebra of subsets extends to a measure.

Latest revision as of 15:42, 26 July 2008

This article is a stub and thus not approved.
Main Article
Discussion
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
 
A definition or brief description of Caratheodory extension theorem.

A countably additive non-negative function on an algebra of subsets extends to a measure.