On some variants of compactness

Authors : S. BAYHAN, İ. L. REİLLY

Pages : 891-898

View : 13 | Download : 7

Publication Date : 2014-12-01

Article Type : Research Paper

Abstract :Three weak variants of compactness were introduced and studied by Kohli and Singh [ Acta Math. Hungar. 106 insert ignore into journalissuearticles values(2005);, 317-329 ]. These three properties are reconsidered from the change of topology perspective. In particular, it is shown that each of these properties is equivalent to compactness with respect to another topology on the underlying set. Some consequences of this situation are investigated. 
Keywords : compactness, change of topology, d compact, d ∗ compact, Dδcompact, continuous function, D continuous function, D∗ continuous function, Dδ continuous function, D supercontinuous function, D irresolute function