The Journal of the Indian Mathematical Society

T. P. Srinivasan ¹

Affiliations
1 Tata Institute of Fundamental Research, Bombay, IN

Abstract

A classical approach due to Caratheodory serves to obtain a measure on a σ-algebra of sets starting from an 'outer measure'.

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T. P. Srinivasan ¹

Affiliations
1 Tata Institute of Fundamental Research, Bombay, IN

Abstract

Caratheodory's axiomatic approach to the theory of measure is well known. It consists in starting with an outer measure m*, a set function defined axiomatically on the class of all subsets of a given set X, and singling out a particular class of subsets of X, called the outer measurable sets, in such a way that the restriction of m* to this distinguished subclass is well-behaved.

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