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
Keimel, K., & Lawson, J. (2005). Measure extension theorems for T0-spaces. Topology and its Applications, 149 (1-3), 57-83. https://doi.org/10.1016/j.topol.2004.02.019