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Topology and Measure Theory

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Nonstandard Analysis for the Working Mathematician

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Abstract

We begin this chapter by showing that nonstandard analysis simplifies many of the ideas in the study of metric and topological spaces. After some introductory material, we will present a few more recent applications of nonstandard analysis to topology. The chapter concludes with a quick introduction to the applications of nonstandard analysis in measure and probability theory.

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL, 61801, USA

    Peter A. Loeb

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  1. Peter A. Loeb
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Correspondence to Peter A. Loeb .

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Editors and Affiliations

  1. Department of Mathematics, University of Illinois, Urbana, Illinois, USA

    Peter A. Loeb

  2. Mathematical Institute, University of Tübingen, Tübingen, Germany

    Manfred P. H. Wolff

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Loeb, P.A. (2015). Topology and Measure Theory. In: Loeb, P., Wolff, M. (eds) Nonstandard Analysis for the Working Mathematician. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-7327-0_3

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