Next Publication In:
Days: 00
Hours: 00
Minutes: 00
Seconds: 00

SEPARATION AXIOMS USING n-OPEN SETS

📘 Volume 11 📄 Issue 1 📅 january 2025

👤 Authors

Hamant Kumar ,Jogendra Kumar 1
1. 1.V. A. Government Degree College, Atrauli-Aligarh, 202280, Mathematics, 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.

📚 How to Cite:

Hamant Kumar ,Jogendra Kumar , SEPARATION AXIOMS USING n-OPEN SETS , Volume 11 , Issue 1, january 2025, EPRA International Journal of Multidisciplinary Research (IJMR) ,

🔗 PDF URL

https://cdn.eprapublishing.org/article/202501-01-019850.pdf

📄 PDF Preview

Click the button above to load the PDF.