Nearness and convergence in pointfree topology
Doctoral Thesis
2004
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University of Cape Town
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Abstract
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.
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Bibliography: leaves 99-106.
Reference:
Naidoo, I. 2004. Nearness and convergence in pointfree topology. University of Cape Town.