Theta open sets in N-topology

J Loyala Foresith Spencer, M Davamani Christober

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.


Keywords


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

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References


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DOI: http://dx.doi.org/10.23755/rm.v43i0.797

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.