UNT Theses and Dissertations - 7 Matching Results

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Compactness and Equivalent Notions

Description: One of the classic theorems concerning the real numbers states that every open cover of a closed and bounded subset of the real line contains a finite subcover. Compactness is an abstraction of that notion, and there are several ideas concerning it which are equivalent and many which are similar. The purpose of this paper is to synthesize the more important of these ideas. This synthesis is accomplished by demonstrating either situations in which two ordinarily different conditions are equivale… more
Date: August 1967
Creator: Bell, Wayne Charles
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Field Extensions and Galois Theory

Description: This paper will be devoted to an exposition of some of the relationships existing between a field and certain of its extension fields. In particular, it will be shown that many fields may be characterized rather simply in terms of their subfields which, in turn, may be directly correlated with the subgroups of a finite group of automorphisms of the given field.
Date: August 1967
Creator: Votaw, Charles I.
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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