Generalization of Homeomorphisms


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Authors

  • P. Gomathi Sundari Department of Mathematics, Rajah Serfoji Government College, Thanjavur, Tamil Nadu, India
  • N. Rajesh Department of Mathematics, Rajah Serfoji Government College, Thanjavur, Tamil Nadu, India
  • S. Vinoth Kumar Department of Mathematics, Swami Dayananda College of Arts and Science, Manjakkudi, Tamil Nadu, India

Keywords:

$sg\alpha$-open sets, $sg\alpha$-continuous functions, $sg\alpha$-irresolute functions, $sg\alpha^*$-homeomorphisms

Abstract

In this paper, we first introduce a new class of closed functions called $sg\alpha$-closed functions also introduce a new class of homeomorphisms called $sg\alpha^*$-homeomorphisms, which are weaker than homeomorphisms. We also prove that the set of all $sg\alpha^*$-homeomorphisms forms a group under the operation composition of functions.

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Published

15-03-2019

How to Cite

P. Gomathi Sundari, N. Rajesh, & S. Vinoth Kumar. (2019). Generalization of Homeomorphisms. International Journal of Mathematics And Its Applications, 7(1), 195–202. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/282

Issue

Vol. 7 No. 1 (2019)

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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