Translator Disclaimer
VOL. 45 | 2004 A theorem on compatibility of systems of sets with applications

## Abstract

A general theorem on compatibility of two systems of subsets of a separable metric space is proved. This theorem is used to deduce results about points of continuity of functions, filtrations and operator semigroups among other things.

## Information

Published: 1 January 2004
First available in Project Euclid: 28 November 2007

zbMATH: 1268.26003
MathSciNet: MR2126908

Digital Object Identifier: 10.1214/lnms/1196285401

Subjects:
Primary: 26A15 , 47D03 , 60G07

Keywords: filtration , infinitesimal $\sigma$-fields , operator semigroups , separable metric space