Vol. 106, No. 1, 1983

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ISSN: 0030-8730
The existence of strong liftings for totally ordered measure spaces

A. Sapounakis

Vol. 106 (1983), No. 1, 145–151
Abstract

Let X be a totally ordered space, μ a finite Borel measure on X with full support, and the σ-algebra of all μ-measurable subsets of X. Then there exists a lifting ρ : ℱ→ℱ which satisfies U ρ(U) for every open subset U of X.

Mathematical Subject Classification 2000
Primary: 28A51
Milestones
Received: 19 October 1981
Published: 1 May 1983
Authors
A. Sapounakis