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
Downloads: Full-text PDF  


Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd