Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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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.

Star operators on $sn$-networks

Shou Lin and Jinhuang Zhang

Ningde Teachers' College, Zhangzhou Normal University

Abstract

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