Geodesic
Analytic Sets, Baire Sets and the Standard Part Map
Canadian journal of mathematics, Tome 31 (1979) no. 3, pp. 663-672

Voir la notice de l'article provenant de la source Cambridge University Press

The problems considered here arose in connection with the interesting use by Loeb [8] and Anderson [1], [2] of Loeb's measure construction [7] to define measures on certain topological spaces. The original problem, from which the results given here developed, was to identify precisely the family of sets on which these measures are defined.To be precise, let be a set theoretical structure and * a nonstandard extension of , as in the usual framework for nonstandard analysis (see [10]). Let X be a Hausdorff space in and stx the standard part map for X, defined on the set of nearstandard points in *X. Suppose, for example, μ is an internal, finitely additive probability measure defined on the internal subsets of *X. 
Henson, C. Ward. Analytic Sets, Baire Sets and the Standard Part Map. Canadian journal of mathematics, Tome 31 (1979) no. 3, pp. 663-672. doi: 10.4153/CJM-1979-066-0
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