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Virginia Polytechnic Institute and State University
The compact-open topology on C(X)
Abstract
dc:description.abstractThis 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.
Degree
thesis:*- Name thesis:degree_name
- Ph. D.
- Level thesis:degree_level
- doctoral
- Discipline thesis:degree_discipline
- Mathematics
- Department dc:contributor.department
- Mathematics
- Grantor dc:publisher
- Virginia Polytechnic Institute and State University
- Year dc:date.issued
- 1985
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Ntantu, Ibula
- Chair dc:contributor.committeechair
-
- McCoy, Robert A.
- Committee members dc:contributor.committeemember
-
- Arnold, Jesse T.
- Aull, Charles E.
- Fletcher, Peter
- Holub, James
Rights
dc:rights- Statement dc:rights
-
- In Copyright
- Licence dc:rights.uri
- Language dc:language.iso
- en_US
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- http://hdl.handle.net/10919/76467
- OAI identifier oai:identifier
- oai:vtechworks.lib.vt.edu:10919/76467