An application of non-standard model theoretic methods to topological groups and infinite Galois theory.

Resource type
Thesis type
(Thesis) M.Sc.
Date created
1968
Authors/Contributors
Abstract
The purpose of this paper is to review some of the work done by Abraham Robinson in topological groups and infinite Galois Theory using ultrapowers as our method of obtaining non-standard models. Chapter One contains the basic logical foundations needed for the study of Non-Standard Analysis by the method of constructing ultrapowers. In Chapter Two, we look at non-standard models of topological groups and give the characterizations of some standard properties in non-standard terms. We also investigate a non-standard property that has no direct standard counterpart. In Chapter Three, we analyze an infinite field extension of a given field r and arrive at the correspondence between the subfields of our infinite field that are extensions of r and the subgroups of the corresponding Galois group through the Krull topology by non-standard methods.
Document
Description
Thesis (M.Sc.) - Dept. of Mathematics - Simon Fraser University
Copyright statement
Copyright is held by the author.
Scholarly level
Supervisor or Senior Supervisor
Thesis advisor: Stone, A.L.
Language
English
Member of collection
Attachment Size
b13536618.pdf 1.12 MB