IJPAM: Volume 49, No. 2 (2008)

$(\omega)$BITOPOLOGICAL SPACES

M.K. Bose$^1$, Madhusudhan Paul$^2$
$^{1,2}$Department of Mathematics
University of North Bengal
Siliguri, W. Bengal, 734013, INDIA
$^1$e-mail: manojkumarbose@yahoo.com
$^2$e-mail: mpaul_slg@yahoo.co.in


Abstract.Considering two increasing sequences of topologies on a set, we introduce the notion of a $\left( {\LARGE\omega }\right) $bitopological space. Different types of compactness are defined and studied.

Received: October 25, 2008

AMS Subject Classification: 54A10, 54E55

Key Words and Phrases: bitopological space, $\left( \omega \right) $topological space, $\left( \omega \right) $bitopological space, pairwise $\left( \omega \right) $Hausdorff, pairwise $\left( \omega \right) $regular, pairwise $\left( \omega \right) $normal, pairwise $\left( \omega \right) $ compact, pairwise locally $\left( \omega \right) $compact, pairwise $\left( \omega \right) $paracompact

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 49
Issue: 2