Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9516681 | Topology and its Applications | 2005 | 27 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Klaus Keimel, Jimmie D. Lawson,