This paper investigates the compact-open topology on the set of C<sub>k</sub>(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 C<sub>k</sub>(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.
| Identifer | oai:union.ndltd.org:VTETD/oai:vtechworks.lib.vt.edu:10919/76467 |
| Date | January 1985 |
| Creators | Ntantu, Ibula |
| Contributors | Mathematics, McCoy, Robert A., Arnold, Jesse T., Aull, Charles E., Fletcher, Peter, Holub, James |
| Publisher | Virginia Polytechnic Institute and State University |
| Source Sets | Virginia Tech Theses and Dissertation |
| Language | en_US |
| Detected Language | English |
| Type | Dissertation, Text |
| Format | vi, 127 leaves, application/pdf, application/pdf |
| Rights | In Copyright, http://rightsstatements.org/vocab/InC/1.0/ |
| Relation | OCLC# 13284428 |
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