Graph Functions in Terms of "Gem-Sets"
Keywords:
closed graph functions, K^*-map , 〖KO〗^*-map , J^*-map and J^(**)-map.Abstract
The primary purpose of paper is to define and study a novel type of graph function under the idea of " Gem-Set" named β^*-closed graph , ω^*-closed graph and 〖sem〗^*-closed graph , then we define K^*-map , 〖KO〗^*-map , T^*-map and T^(**)-map , then we are study the properties of it's and the relationships with our function .
References
C. E. Burgess, Continuous Functions and Connected Graphs, The American Math ematical Monthly, Vol. 97, No. 4, 337–339, 1990.
G. Choquet, "Convergences," Ann. Univ. de Grenoble , 23 (1947-48) 55-112.
James R.Munkres, “Topology”, Second edition, Prentice Hall, Incorporated, QA611.M82, pp 102-112, (2000).
K. Kuratowski, Topology , Academic Press, New York, 1966.
L.L. Herrington, P.E. Long, Characterizations Of H-closed spaces, Proc. Amer. Math. Soc., 48, No. 2 (1975), 468-475.
L. A.AL-Swidi and A. B.AL-Nafee , “New Separation Axioms Using the idea of “Gem-Set” in topological Space “ Mathematical Theory and Moodeling , Vol.3 , No 3 , (2013) , pp 60-66.
L. A.AL-Swidi and M. A. Al-Ethary , " New Function with “Gem-Set” In Topological Space " , International Journal of Engineering Research and Technology , Vol.3 , Issue 2 , (2014 ) , pp. 2324-2327.
Rana H. , Reem O. & Hairan I. " On θ-Continuity in Micro Topological Spaces" Journal of Physics: Conference Series 1804 (2021) 012074.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 Maryam Adnan AL-Ethary, Maryam Sabbeh Al-Rubaie, Maha Khalid Kadhim
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.