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Local Connectedness Made Uniform

In: Papers in Honour of Bernhard Banaschewski

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  • D. Baboolal

    (University of Durban-Westville, Department of Mathematics)

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.

Suggested Citation

  • D. Baboolal, 2000. "Local Connectedness Made Uniform," Springer Books, in: Guillaume Brümmer & Christopher Gilmour (ed.), Papers in Honour of Bernhard Banaschewski, pages 377-390, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-2529-3_23
    DOI: 10.1007/978-94-017-2529-3_23
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