h-Compactness in L-topological spaces

Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum particle physics in connection with string theory and e1 theory. In 2005, Caldas and Jafari have introduced h-compact fuzzy topological spaces. In this paper, the concepts of h-compactness, countable h-compactness and the h-Lindelöf property are introduced and studied in L-topological spaces, where L is a complete de Morgan algebra. They are defined by means of h-open L-sets and their inequalities. They does not rely on the structure of basis lattice L and no distributivity in L is required. They can also be characterized by h-closed L-sets and their inequalities. When L is a completely de Morgan algebra, their many characterizations are presented.