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

Title & Authors
ON SOME NEW MAXIMAL AND MINIMAL SETS VIA θ-OPEN SETS
Caldas, Miguel; Jafari, Saeid; Moshokoa, Seithuti P.;

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 $\small{\theta}$-open sets, minimal $\small{\theta}$-closed sets, $\small{\theta}$-semi maximal open and $\small{\theta}$-semi minimal closed and investigate some of their fundamental properties.
Keywords
topological space;maximal open sets;minimal closed sets;$\small{\theta}$-open sets;$\small{\theta}$-semi maximal open sets;
Language
English
Cited by
References
1.
F. Nakaoka and N. Oda, Some applications of minimal open sets, Int. J. Math. Math. Sci. 27 (2001), no. 8, 471–476.

2.
F. Nakaoka and N. Oda, Some properties of maximal open sets, Int. J. Math. Math. Sci. (2003), no. 21, 1331–1340.

3.
N. V. Velicko, H-closed topological spaces, Mat. Sb. (N.S.) 70(112) (1966), 98–112.