Local Connectedness Made Uniform

D. Baboolal ()
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D. Baboolal: University of Durban-Westville, Department of Mathematics

A chapter in Papers in Honour of Bernhard Banaschewski, 2000, pp 377-390 from Springer

Abstract: 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.

Keywords: 54A05; 54E15; 54D05; local connectedness; property S; uniform local connectedness; connected congruences. (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-2529-3_23

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DOI: 10.1007/978-94-017-2529-3_23

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