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.
| Identifer | oai:union.ndltd.org:auctr.edu/oai:digitalcommons.auctr.edu:dissertations-4110 |
| Date | 01 July 1970 |
| Creators | Rivas, Ethel L. Wright |
| Publisher | DigitalCommons@Robert W. Woodruff Library, Atlanta University Center |
| Source Sets | Atlanta University Center |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | ETD Collection for AUC Robert W. Woodruff Library |
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