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The outer capacity of an internal set function. (English) Zbl 0759.03028

A classical capacity function is obtained, via a standard part map, from an internal set function that lives in a nonstandard extension of a superstructure based on a domain containing the real numbers. This construction is similar to P. A. Loeb’s construction of a classical probability space from an internal probability space.
Reviewer: L.E.Bertossi

MSC:

03H05 Nonstandard models in mathematics
31A15 Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions
60A99 Foundations of probability theory
28E05 Nonstandard measure theory
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