Shi-Zhong Bai - Department of Mathematics, Wuyi University, Guangdong ۵۲۹۰۲۰, P.R.China

In this paper, using pre-semi-open L-sets and their inequality, a new notion of PS-compactness is introduced in L-topological spaces, where L is a complete De Morgan algebra. This notion does not depend on the structure of the basis lattice L and L does not need any distributivity.

L-topology, Pre-semi-open L-set, Compactness, PS-compactness