Measure Extension Theorems for T0-spaces
نویسنده
چکیده
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. AMS Classifications (2000): 28C15, 06B35.
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