Almost cl-supercontinuous functions

K. Kohli and D. Singh Abstract. Reilly and Vamanamurthy introduced the class of ‘clopen maps ’ ( ≡ ‘cl-supercontinuous functions’). Subsequently gen-eralizing clopen maps, Ekici defined and studied almost clopen maps ( ≡ almost cl-supercontinuous functions). Continuing in the spirit of Ekici, here basic properties of almost clopen maps are studied. Behav-ior of separation axioms under almost clopen maps is elaborated. The interrelations between direct and inverse transfer of topological prop-erties under almost clopen maps are investigated. The results obtained in the process generalize, improve and strengthen several known results in literature including those of Ekici, Singh, and others