Open Access
VOL. 45 | 2004 A theorem on compatibility of systems of sets with applications
Chapter Author(s) A. Goswami, B. V. Rao
Editor(s) Anirban DasGupta
IMS Lecture Notes Monogr. Ser., 2004: 332-336 (2004) DOI: 10.1214/lnms/1196285401

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

Vol. 45 • 1 January 2004
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