[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2010.25.4.623

ON SOME NEW MAXIMAL AND MINIMAL SETS VIA θ-OPEN SETS

Caldas, Miguel (DEPARTAMENTO DE MATEMATICA APLICADA UNIVERSIDADE FEDERAL FLUMINENSE)
Jafari, Saeid (DEPARTMENT OF ECONOMICS UNIVERSITY OF COPENHAGEN)
Moshokoa, Seithuti P. (DEPARTMENT OF MATHEMATICS APPLIED MATHEMATICS AND ASTRONOMY)

Publication Information

Communications of the Korean Mathematical Society / v.25, no.4, 2010 , pp. 623-628 More about this Journal

Abstract

Nakaoka and Oda ([1] and [2]) introduced the notion of maximal open sets and minimal closed sets in topological spaces. In this paper, we introduce new classes of sets called maximal $\theta$ -open sets, minimal $\theta$ -closed sets, $\theta$ -semi maximal open and $\theta$ -semi minimal closed and investigate some of their fundamental properties.

Keywords

topological space; maximal open sets; minimal closed sets; $\theta$ -open sets; $\theta$ -semi maximal open sets;

Citations & Related Records

Times Cited By SCOPUS : 0

Reference

1	F. Nakaoka and N. Oda, Some applications of minimal open sets, Int. J. Math. Math. Sci. 27 (2001), no. 8, 471–476. DOI ScienceOn
2	F. Nakaoka and N. Oda, Some properties of maximal open sets, Int. J. Math. Math. Sci. (2003), no. 21, 1331–1340. DOI ScienceOn
3	N. V. Velicko, H-closed topological spaces, Mat. Sb. (N.S.) 70(112) (1966), 98–112.