Bi-Alexandroff spaces

Matutu, P. (2007) Bi-Alexandroff spaces. Quaestiones Mathematica, 30 (1). pp. 57-65. ISSN 1607-3606

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Official URL: http://dx.doi.org/10.2989/160736007780205729

Abstract

Bi-Alexandroff spaces are defined as extensions of Alexandroff spaces [1]. 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.

Item Type:Article
Uncontrolled Keywords:Bi-Alexandroff spaces, bitopological spaces, upper and lower cozero sets. 2000 Mathematics Subject Classification. 54E55, 54H99, 54C50, 18A40
Subjects:Y Unknown > Subjects to be assigned
Divisions:Faculty > Faculty of Science > Mathematics (Pure & Applied)
ID Code:773
Deposited By: Mrs Eileen Shepherd
Deposited On:10 Aug 2007
Last Modified:06 Jan 2012 16:19
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