Extensions of Lattice Set Functions to Regular Borel Measures

Authors

  • P. Maritz University of Stellenbosch, Stellenbosch 7602, South Africa

DOI:

https://doi.org/10.26713/jims.v4i1.62

Keywords:

Borel and Baire sets, Regularity

Abstract

This paper deals with the unique extension of a finite regular set function from the $\delta$-lattice of all compact $G_\delta$-subsets of a locally compact Hausdorff space to a finite regular measure on the $\delta$-ring of all relatively compact Borel subsets of the space. This extension is a two-step method because it is performed (without density assumptions) via the $\delta$-ring of all relatively compact Baire subsets of the space.

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CITATION

How to Cite

Maritz, P. (2012). Extensions of Lattice Set Functions to Regular Borel Measures. Journal of Informatics and Mathematical Sciences, 4(1), 1–14. https://doi.org/10.26713/jims.v4i1.62

Issue

Vol. 4 No. 1 (2012)

Section

Research Articles

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