Bertossi, Leopoldo E. The outer capacity of an internal set function. (English) Zbl 0759.03028 Z. Math. Logik Grundlagen Math. 37, No. 6, 571-573 (1991). 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 Keywords:non-standard analysis; ultraproducts; capacities; potential; classical capacity function; standard part map; internal set function; internal probability space PDFBibTeX XMLCite \textit{L. E. Bertossi}, Z. Math. Logik Grundlagen Math. 37, No. 6, 571--573 (1991; Zbl 0759.03028)