Journal of Engineering and Applied Sciences

On the Number of Ultra L-topologies in the Lattice of L-topologies

Pinky and T.P. Johnson

Abstract: In this study, we investigate ultra L–topologies (dual atoms) in the lattice FX of all L–topologies on a given non empty set X when membership lattice L is a complete atomic Boolean lattice. All the ultra L–topologies and their number in the lattice FX are determined.