Caratheodory extension theorem/Definition: Difference between revisions

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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)
 
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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 16:42, 26 July 2008

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A definition or brief description of Caratheodory extension theorem.

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