IJPAM: Volume 28, No. 1 (2006)

ON BOOLEAN'S ALGEBRA COMPACTIFICATION
IN BITOPOLOGICAL SPACES

B.M. Taher
Department of Mathematics
Faculty of Science
Tanta University
Tanta, EGYPT
e-mail: Scare86@yahoo.com


Abstract.We construct a Boolean's algebra compactification in bitopological spaces in terms of $(i,~j)\lambda_{\gamma}$ open and $(i,~j)\lambda_{\gamma}$ closed sets and study its relation with Stone-Cech compactification in $\beta_{i}X$ bitopological spaces.

We define the concepts of bizero-dimensional and bitotally disconnected bispace and give some of its properties and characterizations.

Received: April 10, 2006

AMS Subject Classification: 54D35, 54C20, 54D10, 54D45

Key Words and Phrases: Boolean's algebra, compactification of bitopological spaces, $(i,j)\lambda_{\gamma}$ closed sets

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 28
Issue: 1