Revelation of Nano Topology in $\check{C}$ech Rough Closure Spaces


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Authors

  • M. Lellis Thivagar School of Mathematics, Madurai Kamaraj University, Madurai, Tamil Nadu, India
  • V. Antonysamy School of Mathematics, Madurai Kamaraj University, Madurai, Tamil Nadu, India
  • M. Arockia Dasan School of Mathematics, Madurai Kamaraj University, Madurai, Tamil Nadu, India

Keywords:

Rough sets, $\check{C}$ech rough closure operators, $\check{C}$ech rough closure spaces, $\check{C}$ech rough continuity, $\check{C}$ech nano topological spaces

Abstract

The purpose of this paper is to derive Nano topology in terms of $\check{C}$ech rough closure operators. In addition to this, we also establish the continuous functions on $\check{C}$ech rough closure space and its properties. Finally from these, we evolve a $\check{C}$ech nano topological space that satisfies the topological axioms on infinite universe.

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Published

01-01-2018

How to Cite

M. Lellis Thivagar, V. Antonysamy, & M. Arockia Dasan. (2018). Revelation of Nano Topology in $\check{C}$ech Rough Closure Spaces. International Journal of Mathematics And Its Applications, 6(1 - A), 121–131. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/905

Issue

Vol. 6 No. 1 - A (2018)

Section

Research Article

License

Creative Commons License

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