The compact-open topology on C(X)

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dc.contributor.authorNtantu, Ibulaen
dc.contributor.committeechairMcCoy, Robert A.en
dc.contributor.committeememberArnold, Jesse T.en
dc.contributor.committeememberAull, Charles E.en
dc.contributor.committeememberFletcher, Peteren
dc.contributor.committeememberHolub, Jamesen
dc.contributor.departmentMathematicsen
dc.date.accessioned2017-03-10T21:54:18Zen
dc.date.available2017-03-10T21:54:18Zen
dc.date.issued1985en
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.en
dc.description.degreePh. D.en
dc.format.extentvi, 127 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/76467en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 13284428en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1985.N726en
dc.subject.lcshTopological spacesen
dc.subject.lcshFunction spacesen
dc.subject.lcshMetric spacesen
dc.titleThe compact-open topology on C(X)en
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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