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A Characterization of Universal Loeb Measurability for Completely Regular Hausdorff Spaces

Published online by Cambridge University Press:  20 November 2018

J. M. Aldaz
J. M. Aldaz*
Affiliation:
Department of Mathematics, The University of the West Indies, Kingston7, Jamaica
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Abstract

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In this paper it is shown that the construction of measures on standard spaces via Loeb measures and the standard part map does not depend on the full structure of the internal algebra being used. A characterization of universal Loeb measurability is given for completely regular Hausdorff spaces, and the behavior of this property under various topological operations is investigated.

Keywords

Primary: 03H05secondary: 28A12
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 4 , 01 August 1992 , pp. 673 - 690
Copyright
Copyright © Canadian Mathematical Society 1992

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