New Types of Continuous Function and Open Function
DOI:
https://doi.org/10.31185/wjcm.Vol1.Iss2.35Keywords:
semi-continuous, semi α-continuousAbstract
In this paper, we continue to study the properties of the relation with some type of open sets, and we introduce -continuous function, semi-continuous function, -continuous function, and -continuous function are studied and some of their characteristics are discussed. In this work, we need to introduce the concepts of function, especially the inverse function to find all continuous function, so we want to prove some examples, theorems, and observations of our subject with the help of new concepts for the alpha-open sets of sums to make it easier for us to find a relationship between these formulas as well as the converse relationship has been studied and explained with illustration many examples. Hence, reaching to get a relationship (continuous, -continuous, semi -continuous) function at new condition.
References
T. Noiri, “On -continuous Functions,” Cassopis Pest Mat, vol. 109, pp. 118–126, 1984.
N. Levine, “Semi-open sets and semi-continuity in Topological space,” Amer. Math, vol. 70, pp. 36–41, 1963.
S. N. Maheshwari, “Some new separation axioms,” Ann. Soc. Sci. Bruxelks, Ser, vol. 89, pp. 395–402, 1975.
Y. Y. Yousif and R. N. Meijed, “General Topology" college of education for pure sciences-Ibn AL-Haitham Baghdad University Department of Mathematics,” 2020. 76-82.
G. B. Novalagi, “Definition Bank in General Topology,” 2000
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Copyright (c) 2022 Nassir Ali Zubain, Ali Khalif Hussain
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