✦ LIBER ✦
Borel Measure Extensions of Measures Defined on Sub-σ-Algebras
✍ Scribed by J.M. Aldaz; H. Render
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 239 KB
- Volume
- 150
- Category
- Article
- ISSN
- 0001-8708
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✦ Synopsis
We develop a new approach to the measure extension problem, based on nonstandard analysis. The class of thick topological spaces, which includes all locally compact and all K-analytic spaces, is introduced in this paper, and measure extension results of the following type are obtained: If (X, T) is a regular, Lindelo f, and thick space, A/_[T] is a _-algebra, and & is a finite measure on A, inner regular with respect to the closed sets in A, then & has a Radon extension. The methods developed here allow us to improve on previously known extension results. 2000