BANASCHEWSKI-MULVEY TYPE COMPACTIFICATION OF PROXIMAL CS\'ASZ\'AR FRAMES

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 133

Volume : 9 , Issue : 2
DOI:
Author :
Pinkie Shikweni (Department of Mathematics and Applied Mathematics, University of Limpopo, Private Bag X1106, Sovenga, 0727, SOUTH AFRICA)
Jissy Nsonde-Nsayi (Department of Mathematical and Statistical Sciences, North-West University Mafikeng Campus, Mmabatho 2735, SOUTH AFRICA)
Hlengani Siweya (Department of Mathematics and Applied Mathematics, University of Limpopo, Private Bag X1106, Sovenga, 0727, SOUTH AFRICA)

Abstract

A Cs\'asz\'ar frame is said to be proximal if it is symmetric, strong and regular. Our aim in this paper is to apply the methods used by Banaschewski and Mulvey in constructing the Stone-C\'ech compactification of completely regular locale to construct a compactification of a proximal Cs\'asz\'ar frame.

Keywords and Phrases

(proximal) Cs\'asz\'ar frame, compactification, dense homomorphism.

A.M.S. subject classification

06D06, 54D35, 54A15.

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