Harnett, Rait Sicklen (1992) Complete regularity and related concepts in L-uniform spaces. Masters thesis, Rhodes University.
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.|
|Deposited By:||Philip Clarke|
|Deposited On:||07 Dec 2012 06:08|
|Last Modified:||07 Dec 2012 06:08|
0 full-text download(s) in the past 12 months
Repository Staff Only: item control page