On θg**- Closed Sets in Topological Spaces

θg**-closed Sets

Authors

  • Ahmed Hussain Wajaean Alrikabiu College of Education for Pure Sciences, Wasit University, Iraq
  • Ali Khalaf Hussain College of Education for Pure Sciences, Wasit University, Iraq

DOI:

https://doi.org/10.31185/wjcms.124

Keywords:

θg**-continuous functions, θg**-irresolute functions

Abstract

In this paper  we have introduced a new class of closed in topological spaces called g**-closed sets and study some of its properties . Further we introduce the concept g**-continuous functions , g**-irresolute functions . As an application we introduce two news paces namely . T **-space, **T - space .Further, g**-continuous, and g**-irresolute mappings are also introduced and investigated .

References

N. Levine, “Generalized closed sets in topology,” Rend. del Circ. Mat. di Palermo, vol. 19, no. 1, pp. 89–96, 1970.

H. R. Maki, K. Devi, and Balachandran, “Associated topologies of generalized,” Mem. Fac. Sci. Kochi Univ. Ser. A. Math, pp. 51–63, 1994.

S. P. Arya and T. Nour, “Characterization of s-normal space,” Indian J. Pure. Appl. Math, pp. 717–719, 1990.

J. Dontchev, “on generalizing semi-preopen sets,” Mem. Fac. Sci. Kochi. Ser. A. Math, vol. 16, pp. 35–48, 1995.

Y, “on generalized preregular closed sets in topological spaces,” Indian J. Pure. Appl. Math, vol. 28, no. 3, pp. 351–360, 1997.

N. Palaniappan and K. Rao, “Regular generalized closed sets,” Kyungpook. Math. J, vol. 33, pp. 211–219, 1993.

M. K. R. S. Veerakumar, “Between closed set and g-closed sets,” Mem. Fas. Sci. Koch. Univ. Ser. A, Math, vol. 17, pp. 33–42, 1996.

A. Alkhazragy, A. K. H. A. Hachami, and F. Mayah, “Notes on strongly Semi - closed graph,” Herald of the Bayman Moscow StateTechnical University, Series Natural Sciences, pp. 17–27, 2022.

R, D. H. Maki, K. B. . R. Devi, K. Balachandran, and H. Maki, “Semi-generalized closed maps and generalized closed maps,” Generalized , vol. 14, pp. 37–49, 1993.

P. Bhattacharya and B. K. Lahiri, “Semi-generalized closed sets in topology,” Indian J.Math, pp. 375–382, 1987.

S. Arya and T. Nour, “Gharacterizations of s-normal spaces,” Indian J. Pure . Appl. Math, vol. 21, pp. 717–719, 1990.

H. K. Maki, R. Balachandran, and Devi, “Associated topologies of generalized ,” Mem. Fac. Sci. Kochi. Univ. Ser. A. Math, vol. 15, pp. 51–63, 1994.

K. Balachandran, P. Sundaram, and H. Maki, “On generalized continuous maps in topological spaces,” Mem. Fac. Kochi Univ. Ser. A, Math, vol. 12, pp. 5–13, 1991.

M. Marwah, A. Hassan, and K. Hussain, “On Semi pre-generalized-closed sets,” Wasit journal for pure science, vol. 1, no. 2, pp. 2022–2022.

M. R. Taresh and A. Al-Hachami on normal space: OR, Og, Wasit Journal of pure sciences, vol. 2022, pp. 61–70

Downloads

Published

2023-06-30

Issue

Section

Mathematics

How to Cite

[1]
A. H. W. Alrikabiu and A. K. H. Hussain, “On θg**- Closed Sets in Topological Spaces : θg**-closed Sets ”, WJCMS, vol. 2, no. 2, pp. 115–121, Jun. 2023, doi: 10.31185/wjcms.124.