Nonstandard analysis and locally compact Abelian groups

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1991 English Publisher:Springer Science and Business Media LLCJournal:Acta Applicandae Mathematicae, volume 25, pages 221-239 (issn: 0167-8019, eissn: 1572-9036,

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Authors: Gordon, E. I.;

doi: 10.1007/bf00047004

Nonstandard analysis and locally compact Abelian groups

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Abstract

The author presents a method of nonstandard analysis for constructing separable locally compact abelian (LCA) groups. He also defines the notion of hyperfinite approximation of LCA-groups and shows that every separable LCA group has an admissible hyperfinite approximation.

Keywords

locally compact abelian group, nonstandard analysis, Locally compact groups and their algebras, Nonstandard analysis, Nonstandard measure theory, hyperfinite approximation of LCA-groups, Loeb measure

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