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On the equivalence of compactness and finiteness in topology, 1970

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Title

On the equivalence of compactness and finiteness in topology, 1970

Author

Rivas, Ethel L. Wright

Decade

1970-1979

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.

Document Type

text

Format

application/pdf

Date of Award

1970-07-01

Degree Type

thesis

Degree Name

Master of Science (MS)

Granting Institution

Atlanta University

Department

Mathematics

Advisor

Boyd, John

Institution

Clark Atlanta University

Geographic Location

Georgia--Atlanta

Handle

http://hdl.handle.net/20.500.12322/cau.td:1970_rivas_ethel_l_w