Commun. Korean Math. Soc. 2012; 27(3): 621-627
Printed September 1, 2012
https://doi.org/10.4134/CKMS.2012.27.3.621
Copyright © The Korean Mathematical Society.
Shou Lin and Jinhuang Zhang
Ningde Teachers' College, Zhangzhou Normal University
Star operations are defined by R. E. Hodel in 1994. In this paper some relations among star operators, sequential closure operators and closure operators are discussed. Moreover, we introduce an induced topology by a family of subsets of a space, and some interesting results about star operators are established by the induced topology.
Keywords: star operators, sequential closure operators, $sn$-networks, weak bases, Fr\'echet spaces
MSC numbers: 54A10, 54D55, 54E20
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