Title

Measure extension theorems for T0-spaces

Document Type

Article

Publication Date

4-28-2005

Abstract

The theme of this paper is the extension of continuous valuations on the lattice of open sets of a T0-space to Borel measures. A general extension principle is derived that provides a unified approach to a variety of extension theorems including valuations that are directed suprema of simple valuations, continuous valuations on locally compact sober spaces, and regular valuations on coherent sober spaces. © 2004 Elsevier B.V. All rights reserved.

Publication Source (Journal or Book title)

Topology and its Applications

First Page

57

Last Page

83

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