Study of RL-Connectedness and RL-Compactness
J. M. U. D. Wijerathne
Department of Mathematics, Faculty of Science, Eastern University, Sri Lanka.
P. Elango *
Department of Mathematics, Faculty of Science, Eastern University, Sri Lanka.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we introduce a new kind of locally closed sets called regular locally closed sets (brie y RL-closed sets) in a topological space which are weaker than the locally closed sets. Regular locally continuous maps and regular locally irresolute maps are also introduced and studied some of their properties. Finally, we introduce the concept of regular locally connectedness and regular locally compactness on a topological space using the RL-closed sets.
Keywords: RL-closed set, RLC-continuous map, RLC-irresolute map, RL-connectedness, RL- compactness.