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On strong lifting compactness, with applications to topological vector spaces

Part of: Classical measure theory

Published online by Cambridge University Press:  09 April 2009

A. G. A. G. Babiker ,
G. Heller  and
W. Strauss
A. G. A. G. Babiker
Affiliation:
School of Mathematics, The University of Knartoum, P.O. Box 321, Khartoum, Sudan
G. Heller
Affiliation:
Mathematisches Institut II, Universität karlsruhe, Englerstrasse 2, D 7500 Karlsruhe, West Germany
W. Strauss
Affiliation:
Mathematisches Institut A, Universität Stuttgart, Pfaffenwaldring 57, D 7000 Stuttgart, West Germany
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Abstract

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The notion of strong lifting compactness is introduced for completely regular Hausdorff spaces, and its structural properties, as well as its relationship to the strong lifting, to measure compactness, and to lifting compactness, are discussed. For metrizable locally convex spaces under their weak topology, strong lifting compactness is characterized by a list of conditions which are either measure theoretical or topological in their nature, and from which it can be seen that strong lifting compactness is the strong counterpart of measure compactness in that case.

MSC classification

Secondary: 28A51: Lifting theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 41 , Issue 2 , October 1986 , pp. 211 - 223
Copyright
Copyright © Australian Mathematical Society 1986

References

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