Browsing by Author "Naidoo, Inderasan"

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    Nearness and convergence in pointfree topology
    (2004) Naidoo, Inderasan; Gilmour, Christopher Robert Anderson
    We introduce and investigate the concept of a nearness structure on a σ-frame. Analogues of the Samuel Compactification, Uniform Coreflection and Completion in the nearness σ-frame setting are obtained. Convergence in uniform frames is also a subject of this thesis integrating compactness, precompactness and paracompactness. Finally, the notion of uniform paracompactness is introduced and its relation with convergence is investigated.