Complete regularity and related concepts in L-uniform spaces

Harnett, Rait Sicklen (1992) Complete regularity and related concepts in L-uniform spaces. Masters thesis, Rhodes University.

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Abstract

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.

Item Type:Thesis (Masters)
Uncontrolled Keywords:Distributive lattice, Order reversing involution, L-uniform space, Theorem, Functions, Topological modification
Subjects:Q Science > QA Mathematics
Divisions:Faculty > Faculty of Science > Mathematics (Pure & Applied)
Supervisors:Kotzé, W. and Chadwick, J.
ID Code:4174
Deposited By: Philip Clarke
Deposited On:07 Dec 2012 06:08
Last Modified:07 Dec 2012 06:08
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