SEPARATION AXIOMS USING n-OPEN SETS
Hamant Kumar ,Jogendra Kumar
1.V. A. Government Degree College, Atrauli-Aligarh, 202280, 2.Government Degree College, Raza Nagar Swar, Rampur 244924, U. P, India
Abstract
The aim of this paper is to study some separation axioms (namely nT0, nT1 and nT2) in topological spaces and obtain some basic properties of these separation axioms. Moreover the relationships among nT0, nT1 and nT2 and some other existing separation axioms are investigated and show that the separation axioms nT0, nT1 and nT2 and the separation axioms T0, T1 and T2 are independent of each other, and give some examples in support of these relationships. Further we also introduce nR0 and nR1 spaces using n-open sets and obtain some basic properties and characterizations of these spaces.
Keywords: n-open sets; n-continuous and n-irresolute functions; nT0, nT1, nT2, nR0 and nR1 spaces.
2020 AMS Subject Classification: 54A05, 54C05, 54C08, 54C10, 54D10.
Journal Name :
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EPRA International Journal of Multidisciplinary Research (IJMR)
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Published on : 2025-01-21
| Vol | : | 11 |
| Issue | : | 1 |
| Month | : | January |
| Year | : | 2025 |