On Semi-Continuous Functions
S. Canoy, Jr., J. Benitez (pp. 22-25)
Abstract
This paper gives equivalent statements of semi-continuity, a concept introduced by N. Levine in 1963. In particular, we give a characterization of semi-continuity which utilizes the concept of semi-closure of a set defined by one of the authors in [1]. Also, we characterize semi-continuity of maps into the space of real numbers with the standard topology.