Date of Award

7-1-1970

Degree Type

Thesis

University or Center

Atlanta University (AU)

Degree Name

M.S.

Mathematics

First Advisor

Mr. John Boyd, Jr.

Abstract

A topological space X is compact-finite if and only if compactness and finiteness are equivalent. The most commonly used term for such a space is cf. CF-spaces may be determined in many ways. However, to show that a space is cf, it suffices to prove that every compact set is finite or that every infinite set is not compact. Numerous examples and related theorems of cf-spaces are presented.

Included in

Mathematics Commons

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