Philippine E-Journals

On Semi-Continuous Functions

Julius V. Benitez | Sergio R. Canoy Jr.

Discipline: Mathematics

 

Abstract:

This paper gives equivalent statements of semi-continuity; a concept introduced by N. Levine [4] 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.