Commun. Korean Math. Soc. 2002 Vol. 17, No. 3, 531-534 Printed September 1, 2002
Woo Chorl Hong Pusan National University
Abstract : We prove that the star operator and the sequential closure operator on a weakly first countable space are the same and show that the Fr\'echetness is a sufficient condition for a weakly first countable space to be first countable.
Keywords : star operator, sequential closure operator, Frechet, first countable, weakly first countable, symmetrizable, semi-metrizable