A Characterization of Universal Loeb Measurability for Completely Regular Hausdorff Spaces

Aldaz, J. M.

Canadian journal of mathematics, Tome 44 (1992) no. 4, pp. 673-690

Résumé

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.

Détail

DOI : 10.4153/CJM-1992-041-2

Mots-clés : Primary: 03H05, secondary: 28A12

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