On Grill S<sub>p</sub>-Open Set in Grill Topological Spaces
Abstract
In this paper, we introduce a new type of grill set
namely; G-open sets, which is
analogous to the G-semiopen sets in a grill topological space (X,t,G). Further, we define G-continuous and G-open functions by using a G-open set and we investigate some
of their important properties.
Keywords
References
- [1] M. E. Abd El-Monsef and A. M. Kozae, Some generalized forms of compactness and closeness, Delta J. Sci., 9 (2) (1985), 257-269.
- [2] G. Choquet, Sur les notions de filtre et grille, Comptes Rendus Acad. Sci. Paris, 224 (1947), 171-173.
- [3] E. Hatir and S. Jafari, On some new classes of sets and a new decomposition of continuity via grills, J. Adv. Math. Studies, 3 (1) (2010), 33-40.
- [4] Talal Al-Hawary and A. Al-Omari, ω-continuous like mappings, Al-Manarah J. 13(6) (2007),135-147.
- [5] T. A. Al-Hawary-with A. Al-Omari, Decompositions of Continuity, Turkish J. Math., 30(20)(2006). 187-195.
- [6] Talal Al-Hawary and A. Al-Omari, Between open and ω-open sets, Q &A in General Topology 24, 67-77, 2006.
- [7] T. A. Al-Hawary, On Generalized preopen sets, Proyecciones: revista de matematica 31(4) (2013), 63-76.
- [8] T. Al-Hawary, ρ-closed sets, Acta Universitatis aplulensis 35(2013), 29-36.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
June 1, 2018
Submission Date
March 19, 2018
Acceptance Date
-
Published in Issue
Year 2018 Number: 23