Extensions of Lattice Set Functions to Regular Borel Measures

P. Maritz

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.

Keywords


Borel and Baire sets; Regularity

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DOI: http://dx.doi.org/10.26713%2Fjims.v4i1.62

eISSN 0975-5748; pISSN 0974-875X