The compact-open topology on C(X)
| Autor: | Ntantu, Ibula |
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| Rok vydání: | 1985 |
| Předmět: | |
| Druh dokumentu: | Dissertation |
| Popis: | This paper investigates the compact-open topology on the set of Ck(X) of continuous real-valued functions defined on a Tychonoff space X. More precisely, we study the following problem: If P is a topological property, does there exist a topological property Q so that Ck(X) has P if and only if X has Q? Characterizations of many properties are obtained throughout the thesis, sometimes modulo some “mild” restrictions on the space X. The main properties involved are summarized in a diagram in the introduction. Ph. D. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
| Externí odkaz: |
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