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O. Ravi, Department of Mathematics, P. M. Thevar College, Usilampatti, Madurai, Tamil Nadu, India, e-mail: siingam@yahoo.com; S. Ganesan, Department of Mathematics, N. M. S. S. V. N. College, Nagamalai, Madurai, Tamil Nadu, India, e-mail: sgsgsgsgsg77@yahoo.com; R. Latha, Department of Mathematics, Prince SVP Engineering College, Ponmar, Chennai-48, Tamil Nadu, India, e-mail: ar.latha@gmail.com
Abstract: We introduce a new class of functions called almost $\tilde{g}_\alpha$-closed and use the functions to improve several preservation theorems of normality and regularity and also their generalizations. The main result of the paper is that normality and weak normality are preserved under almost $\tilde{g}_\alpha$-closed continuous surjections.
Keywords: topological space, $\tilde{g}$-closed set, $\tilde{g}_\alpha$-closed set, $\alpha g$-closed set
Classification (MSC 2010): 54C10, 54C08, 54C05
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