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Local Connectedness Made Uniform

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Abstract

The uniformly locally connected reflection for a locally connected uniform frame is constructed. Applications of this construction to the theory of locally connected completely regular frames are given. One such application is that if a completely regular frame is locally connected and pseudocompact then every compactification of it is locally connected.

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  1. Department of Mathematics, University of Durban-Westville, Private Bag X54001, Durban, 4000, South Africa, e-mail

    D. Baboolal

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  1. D. Baboolal
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Baboolal, D. Local Connectedness Made Uniform. Applied Categorical Structures 8, 377–390 (2000). https://doi.org/10.1023/A:1008649722447

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