Complete regularity and related concepts in L-uniform spaces

Title: Complete regularity and related concepts in L-uniform spaces
Creator: Harnett, Rait Sicklen
Subject: Uniform spaces
Subject: Mathematics -- Research
Date Issued: 1992
Date: 1992
Type: Thesis
Type: Masters
Type: MSc
Identifier: vital:5403
Identifier: http://hdl.handle.net/10962/d1005217
Identifier: Uniform spaces
Identifier: Mathematics -- Research
Description: L will denote a completely distributive lattice with an order reversing involution. The concept of an L-uniform space is introduced. An extension theorem concerning L-uniformly continuous functions is proved. A characterisation of L-uniformizability, involving L-complete regularity is given. With respect to L--completely regular spaces it is shown that the topological modification of an L-completely regular space is completely regular. Furthermore it is shown that the topologically generated L-topology of a completely regular space is L-completely regular.
Format: 151 p.
Format: pdf
Publisher: Rhodes University
Publisher: Faculty of Science, Mathematics
Language: English
Rights: Harnett, Rait Sicklen

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RU Department of Mathematics (Pure and Applied)

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