Local properties of transitive quasi-uniform spaces

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dc.contributor.authorSeyedin, Massooden
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T21:15:01Zen
dc.date.adate2010-06-12en
dc.date.available2014-03-14T21:15:01Zen
dc.date.issued1972en
dc.date.rdate2010-06-12en
dc.date.sdate2010-06-12en
dc.description.abstractIf (X,Ƭ) is a topological space, then a quasi-uniformity U on X is compatible with Ƭ if the quasi-uniform topology, Ƭ<sub>u</sub> = Ƭ. This paper is concerned with local properties of quasi-uniformities on a set X that are compatible with a given topology on X. Chapter II is devoted to the construction of Hausdorff completions of transitive quasi-uniform spaces that are members of the Pervin quasi-proximity class. Chapter III discusses locally complete, locally precompact, locally symmetric and locally transitive quasi-uniform spaces. Chapter IV is devoted to function spaces of quasi-uniform spaces. Chapter V and the Appendix are concerned with the topological homeomorphism groups of quasi-uniform spaces.en
dc.description.degreePh. D.en
dc.format.extent64 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-06122010-020732en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-06122010-020732/en
dc.identifier.urihttp://hdl.handle.net/10919/38605en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1972.S48.pdfen
dc.relation.isformatofOCLC# 22466742en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1972.S48en
dc.subject.lcshQuasi-uniform spacesen
dc.titleLocal properties of transitive quasi-uniform spacesen
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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