Original Articles

Bi-Alexandroff spaces

Published in: Quaestiones Mathematicae
Volume 30 , issue 1 , 2007 , pages: 57–65

DOI: 10.2989/160736007780205729

Author(s): Phethiwe Matutu

Keywords: BI-ALEXANDROFF SPACES , BITOPOLOGICAL SPACES , UPPER AND LOWER COZERO SETS

Abstract

Bi-Alexandroff spaces are defined as extensions of Alexandroff spaces. Urysohn's lemma for bi-Alexandroff spaces is used to show that upper and lower cozero sets of bitopological spaces are bi-Alexandroff spaces. An adjunction between bi-Alexandroff spaces and pairwise completely regular bitopological spaces is established.

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