A note on weakly first countable spaces
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
MSC numbers : 54D80, 54E18, 54E25
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