Elementary Extensions of Linear Topological Abelian Groups

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Feb 1972Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 31, page 525 (issn: 0002-9939,

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Authors: Phillips, R. G.; Sperry, P. L.;

doi: 10.2307/2037566 , 10.1090/s0002-9939-1972-0288212-4

Elementary Extensions of Linear Topological Abelian Groups

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Abstract

R. MacDowell and E. Specker obtain a structure theorem for elementary extensions of the integers by considering a certain residue mapping. In this paper we characterize those abelian groups in which an analogous situation exists and obtain the MacDowell-Specker result as a special case of our theory.

Keywords

Nonstandard models, Topological methods for abelian groups

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