On θg**- Closed Sets in Topological Spaces :  θg**-closed Sets

Ahmed Hussain Wajaean Alrikabiu; Ali Khalaf Hussain Hussain

doi:10.31185/wjcms.124

On θg**- Closed Sets in Topological Spaces

θg**-closed Sets

Authors

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

A. Alkhazragy , A.K.H. Al - Hachami and F. Mayah "Notes on strongly Semi - closed graph".Herald of the Bayman Moscow StateTechnical University, Series Natural Sciences , 2022 no.3 ( 102 ) PP . 17-27. DOI: https://doi.org/10.18698/1812-3368-2022-3-17-27

N. Levine, “Generalized closed sets in topology,” Rend. del Circ. Mat. di Palermo, vol. 19, no. 1, pp. 89–96, 1970.. DOI: https://doi.org/10.1007/BF02843888

H. Maki. R. Devi and K. Balachandran, Associated topologies of generalized α-closed sets and α-generalized closed sets, Mem. Fac. Sci. Kochi Univ. Ser. A. Math., 15(1994). 51-63 .

S.P. Arya and T. Nour, Characterization of s-normal space . Indian J. Pure. Appl. Math.,21(1990).717-719 .

J. Dontchev, on generalizing semi-preopen sets. Mem. Fac. Sci. Kochi. Ser. A. Math., 16(1995), 35-48 .

Y. Gnanambal, on generalized preregular closed sets in topological spaces. Indian J. Pure. Appl. Math., 28(3)(1997), 351-360 .

N. Palaniappan and K. Rao. Regular generalized closed sets. Kyungpook. Math. J., 33(1993), 211-219 .

M.K.R.S. Veerakumar, Between closed set and g-closed sets, Mem. Fas. Sci. Koch. Univ. Ser. A, Math., 17(1996), 33-42 .

R. Devi H. Maki and K. Balachandran, Semi-generalized closed maps and generalized closed maps, Mem. Fac. Sci. Kochi Univ. Ser. A. Math., 14(1993), 41-54 [10] R. Devi, K. Balachandran and H. Maki, Generalized α-closed maps and α-generalized closed maps, Indian J. Pure. Appl. Math., 29(1)(1998), 37-49 .

P. Bhattacharya and B.K. Lahiri. Semi-generalized closed sets in topology, Indian J.Math., 29 (1987). 375-382

S. Arya and T. Nour, Gharacterizations of s-normal spaces , Indian J. Pure . Appl. Math., 21 (1990), 717-719 .

H. Maki. K. Balachandran and R. Devi. Associated topologies of generalized α-closed sets and α-generalized closed sets. Mem. Fac. Sci. Kochi. Univ. Ser. A. Math., 15(1994), 51-63 .

K. Balachandran, P. Sundaram and H. Maki, On generalized continuous maps in topological spaces , Mem. Fac. Kochi Univ. Ser. A, Math., 12(1991), 5-13 .

Marwah Munther Hassan and Ali Khalaf Hussain "On Semi pre-generalized-closed sets". Wasit journal for pure science. Vol(1) No.(2) 2022. DOI: https://doi.org/10.31185/wjps.39

Taresh, M.R. and A. Al-Hachami, on normal space: OR, Og, Wasit Journal of pure sciences, 2022. 1(2): p. 61-70.