$\breve{g}$-closed and $\breve{g}$-open Maps in Topological Spaces


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Authors

  • O. Ravi Department of Mathematics, P. M. Thevar College, Usilampatti, Madurai District, Tamil Nadu, India
  • S. Padmasekaran Department of Mathematics, Periyar University, Salem, Tamil Nadu, India
  • S. Usharani Research Scholar, Periyar University, Salem, Tamil Nadu, India
  • I. Rajasekaran Department of Mathematics, P. M. Thevar College, Usilampatti, Madurai District, Tamil Nadu, India

Keywords:

Topological space, $\breve{g}$-closed map, $\breve{g}^\star$-closed map, $\breve{g}$-open map, $\breve{g}^\star$-open map

Abstract

A set A in a topological space (X, $\tau$) is said to be $\breve{g}$-closed set if cl(A)$\subseteq$U whenever $A\subseteq U$ and U is B-open in X. In this paper, we introduce $\breve{g}$-closed map from a topological space X to a topological space Y as the image of every closed set is $\breve{g}$-closed, and also we prove that the composition of two $\breve{g}$-closed maps need not be a $\breve{g}$- closed map. We also obtain some properties of $\breve{g}$-closed maps.

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Published

20-12-2015

How to Cite

O. Ravi, S. Padmasekaran, S. Usharani, & I. Rajasekaran. (2015). $\breve{g}$-closed and $\breve{g}$-open Maps in Topological Spaces. International Journal of Mathematics And Its Applications, 3(4 - C), 1–8. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/500

Issue

Vol. 3 No. 4 - C (2015)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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