A Realization of Measurable Sets as Limit Points

Jun Tanaka; Peter F. McLoughlin

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arXiv · 0712.2270

A Realization of Measurable Sets as Limit Points

Jun Tanaka·Peter F. McLoughlin

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Abstract

Starting with a sigma finite measure on an algebra, we define a pseudometric and show how measurable sets from the Caratheodory Extension Theorem can be thought of as limit points of Cauchy sequences in the algebra.

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BibTeX RIS

Jun Tanaka, Peter F. McLoughlin. 2007-12-14. A Realization of Measurable Sets as Limit Points. https://arxiv.org/abs/0712.2270

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