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
Rights: Copyright © 2004, Institute of Mathematical Statistics