On extremal extensions of regular contents and measures-Reference-Cited by-同舟云学术

On extremal extensions of regular contents and measures

Published:1994 Issue:4 Volume:121 Page:1159-1164
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Adamski Wolfgang

Abstract

Within the framework of regular extensions of contents and measures we show that every regular content admits an extremal extension. Under an additional assumption we can also prove the existence of extremal measure extensions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1994-121-04/S0002-9939-1994-1204367-3/S0002-9939-1994-1204367-3.pdf

Reference13 articles.

1. Extensions of tight set functions with applications in topological measure theory;Adamski, Wolfgang;Trans. Amer. Math. Soc.,1984

2. Extensions of regular lattice measures with topological applications;Bachman, George;J. Math. Anal. Appl.,1977

3. On regular extensions of measures;Bachman, George;Pacific J. Math.,1980

4. On the extremality of measure extensions;Bierlein, D.;Manuscripta Math.,1989

5. Induced 𝜎-homomorphisms and a parametrization of measurable sections via extremal preimage measures;Graf, Siegfried;Math. Ann.,1980

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