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Local properties of transitive quasi-uniform spacesSeyedin, Massood 12 June 2010 (has links)
If (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. / Ph. D.
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