regular measure

Definition 0.1.

A regular measure μR on a topological spaceMathworldPlanetmath X is a measureMathworldPlanetmath on X such that for each A(X) , with μR(A)<), and each ε>0 there exist a compact subset K of X and an open subset G of X with KAG, such that for all sets A(X) with AG-K, one has μR(A)<ε.

Title regular measure
Canonical name RegularMeasure
Date of creation 2013-03-22 18:23:07
Last modified on 2013-03-22 18:23:07
Owner bci1 (20947)
Last modified by bci1 (20947)
Numerical id 5
Author bci1 (20947)
Entry type Definition
Classification msc 28C15
Classification msc 28A12
Classification msc 28A10
Related topic OuterMeasure