A Study of New Separation Axioms in Topology Induced by \(\theta\)-sgp-Open Sets

Authors

  • Md. Hanif Page Department of Mathematics, KLE Technological University, Vidya Nagar, Hubli 580031, Karnataka
  • V. T. Hosamath Department of Mathematics, KLE Institute of Technology, Gokul, Hubli 580027, Karnataka
  • Anuradha N. Patil Department of Mathematics, Government First Grade College (Karnatak University Dharwad), Gadag, Karnataka, India

DOI:

https://doi.org/10.26713/cma.v12i3.1564

Keywords:

\(\theta\)-sgp-open, \(\theta\)-sgp-\(T_0\), \(\theta\)-sgp-\(R_0\), sober \(\theta\)-sgp-\(R_0\)

Abstract

This paper introduces separation axioms using \(\theta\)-sgp-open sets in topological spaces. We also focus on some of their basic properties and also made the implication of these axioms among themselves and with other known axioms. Also we investigated characterizations of these axioms. It also introduces the concept of sober \(\theta\)-sgp-\(R_0\) spaces.

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References

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Published

30-09-2021
CITATION

How to Cite

Page, M. H., Hosamath, V. T., & Patil, A. N. (2021). A Study of New Separation Axioms in Topology Induced by \(\theta\)-sgp-Open Sets. Communications in Mathematics and Applications, 12(3), 559–568. https://doi.org/10.26713/cma.v12i3.1564

Issue

Vol. 12 No. 3 (2021)

Section

Research Article

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