A Realization of Measurable Sets as Limit Points
Functional Analysis
2007-12-17 v1
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.
Keywords
Cite
@article{arxiv.0712.2270,
title = {A Realization of Measurable Sets as Limit Points},
author = {Jun Tanaka and Peter F. McLoughlin},
journal= {arXiv preprint arXiv:0712.2270},
year = {2007}
}