A New Class on Ng<sup>#</sup> α-Quotient Mappings in Nano Topological Space

  • V. Kokilavani Department of Mathematics, Kongunadu Arts and Science College, Coimbatore-29, TN, India
  • S. Visagapriya Department of Mathematics, Kongunadu Arts and Science College, Coimbatore-29, TN, India

Abstract

The primary intend of this article is to define a new class of mappings called Ng# α-quotient mappings in nano topological space. The intention is to analyze characterizations and inter relationship of Ng# α-quotient mappings with nano Tg#α-space, Ng# α-continuous, Ng# α-open, Ng# α-irresolute, Ng# α-homeomorphism and nano α-quotient mapping. Also several properties of strongly Ng# α-quotient mapping are derived and the relationships among them are illustrated with the help of examples. Their interesting composition with strongly Ng# α-irresolute are established. The concept of Ng# α-quotient mapping is explored and composition of mappings under strongly Ng# α-quotient mapping and Ng# α-quotient mapping are discussed. Furthermore, to emphasize Ng# α-quotient mapping a few examples are considered and derived in detail.

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Abstract
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Published
2020-05-01
How to Cite
Kokilavani, V., & Visagapriya, S. (2020). A New Class on Ng<sup>#</sup&gt; α-Quotient Mappings in Nano Topological Space. Journal of Scientific Research, 12(3), 269-277. https://doi.org/10.3329/jsr.v12i3.43838
Section
Section A: Physical and Mathematical Sciences