*(ĝr)h - SEPARATION AXIOMS

Authors

  • C. Dhanapakyam Assistant Professor, Department of Mathematics, RVS College of Arts & Science, Coimbatore-, India
  • J. Sathya Malar Research scholar, Department of Mathematics, RVS College of Arts & Science, Coimbatore-, India

DOI:

https://doi.org/10.69980/xsbqh878

Keywords:

*(ĝr)h -T0, *(ĝr)h - T1, *(ĝr)h -T2

Abstract

In this paper, we are trying to define some new types of separation axioms in hexa topological spaces using , *(ĝr)h - continuous functions *(ĝr)h - irresolute functions, *(ĝr)h  - open maps and *(ĝr)h  - closed maps. We also introduce the ideas of *(ĝr)h -T0 *(ĝr)h-T1  and *(ĝr)h-T2 spaces. Along with that, some basic properties of these spaces are also studied and discussed.

References

1.R.V. Chandra and V. Pushpalatha , “Introduction to Hexa Topological Space (6-Tuple Topology) ”, International Journal of Management, Technology And Engineering , 10( I) , 16-18, 2020.

2.Christal Bai. I and Shyla isac mary. T, On (gg)* Seperations axioms, Journal of Mathematical computional science, 10(3), 2020,474-478

3.A. Cs´asz´ar, Separation axioms for generalized topologies, Acta Math. Hungar., 104(1-2) (2004), 63-69.

4.T. Kalaiselvi and G. Sindhu, Introduction To Wh Closed Sets In Hexa Topological Spaces,International Journal of Creative Research Thoughts, 11(4), 2023 220-227 .

5.W. K. Min, Mixed weak continuity on generalized topological spaces, Acta Math. Hungar., 132(4) (2011), 339-347.

6.R. Mohanapriya and S.Santhiya, A New Notion of Hexa Regular Closed Sets via Hexa Topological Space, Spaces, 2023.

7.Nabeela Abu-Alkishik1,∗ , Diana Mahmoud2 , Maryam Alholi3 , Hamza Qoqazeh4 , Sanaa Khataybeh “Some Topological Properties in View of Hexa Topological Spaces”International Journal of Analysis and Applications ISSN: 2291-8639 Nov. 8, 2025.

8.Rajendran.V, Indirani.K, Vijesh.C and Suresh.N “On *(gr)-Closed Sets in Topological Spaces” nternational Journal of Mathematics Trends and Technology, 24 (2) – August 2015.

9.Rajendran V, Indirani K, Sathishmohan P, Vijesh C, Suresh N”On *(gr)-Continuous Functions and Contra*(gr)-Continuous Functions in Topological Spaces International Journal of Applied Research , 1 (10), 2015 ,940-944

10.B. Roy, On generalised R0 and R1 spaces, Acta Math. Hungar., 127(3) (2010), 291-300.

11.Sathya Malar. J and Dhanapakyam .C *(ĝr)h - Closed Sets In Hexa Topological Spaces ICMSAI-2025,Gobi Arts and Science college.

12.Sathya Malar. J and Dhanapakyam .C A New class of continuous functions in hexa topological spaces JTSEIT ,13(2), 2025,125-132.

13. Sathya Malar. J and Dhanapakyam .C ,*(ĝr)h - Homeomorphisms In Hexa Topological Spaces, International Journal of creative research thoughts (IJCRT), 14(7), 2026, 264-271.

Downloads

Published

2026-08-11