Theta open sets in N-topology

Authors

  • J Loyala Foresith Spencer The American College, Madurai, India
  • M Davamani Christober The American College, Madurai, India

DOI:

https://doi.org/10.23755/rm.v43i0.797

Keywords:

Topology, N-topology, Nτθ-open, N^# θ – irresolute, Nτ -θ connected, Nτ -θ Hausdorff, Nτ - θ normal, Nτ -θ regular.

Abstract

This article elaborates about a novel approach on defining θ-open sets and some of its properties in N-topological space. We establish various continuous maps and discuss the relationship with θ-continuous maps using N-topology. Also discussed the necessary and sufficient condition for θ - irresolute maps in terms of θ-open sets and θ-neighborhood in N-topology. We develop the idea of θ-connectedness properties and some sort of separation axioms in N-topological space.

References

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Published

2022-12-30

Issue

Vol. 43 (2022)

Section

Volume 43-2022

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