Further properties on strongly generalized star semi- continuous mappings

Main Article Content

A.I. EL-Maghrabi
S.S. AL-Ahmadi

Abstract

The aim of this paper is to introduce and study the class of strongly generalized star semi – closed sets which is weaker than semi-  closed sets (Crossly and Hildebrand , 1971) and stronger than both  strongly generalized semi-closed sets (El-Maghrabi and Nasef ,2008) and semi generalized-closed sets (Bhattacharya and Lahiri,1987). Also, through this paper some concepts such as: strongly generalized star semi –continuous, strongly generalized star semi –closed and strongly generalized star semi –homeomorphism maps are discussed and investigated via a strongly generalized star semi –closed set.

 (1991) AMS Math. Subject Classification: 54 A05; 54 D10

 Keywords and Phrases: strongly generalized star semi –closed sets, strongly generalized star semi – continuous, strongly generalized star semi –irresolute, strongly generalized star semi- closed and strongly generalized star semi – homeomorphism mappings

Downloads

Download data is not yet available.

Article Details

How to Cite
EL-Maghrabi, A., & AL-Ahmadi, S. (2013). Further properties on strongly generalized star semi- continuous mappings. Journal of Global Research in Mathematical Archives(JGRMA), 1(1), 19–28. Retrieved from https://jgrma.com/index.php/jgrma/article/view/13
Section
Research Paper

References

D. Andrijevic` , Semi -preopen sets, Mat. Vesink, 38(1) (1986),24-32.

S. P. Arya and T.Nour , Characterizations of s-normal spaces , Indian J. Pure Appl. Math. , 21 (8) (1990) , 717-719.

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

P.Bhattacharyya and B. K. Lahiri , Semi-generalized closed sets in topological spaces, Indian J. Math. , 29 (1987) 376-382.

N.Biswas , Some mappings in topological spaces, Bull. Cal. Math. Soc. 61 (1969), 127-135.

M. C. Calds , Semi-generalized continuous maps in topological spaces, Portugal. Math. ,52 (4) (1995) , 399-407.

S. G. Crossley and S. K. Hildebrand , Semi-closure , Texas .J . Sci. , (3+4) (1971) , 99-119.

S. G. Crossley and S. K. Hildebrand , Semi-closed sets and semi-continuity in topological spaces, Texas. J. Sci. , (2+3) (22) (1971) 123- 126.

S. G. Crossley and S. K. Hildebrand ,Semi - topological properties, Fund . Math. 74 (1972) , 233-254.

R. Devi , K. Balachandran and H. Maki , Semi-generalized homeomorphism and generalized semi-homeomorphism in topological spaces , Indian J. Pure Appl. Math. , 26 (3) (1995) , 217-248.

R.Devi , H. Maki and K. Balachandran , Semi-generalized closed mappings and generalized semi- closed mappings , Kochi, Univ. (Math.), 14 (1993) , 41-54.

A. I. EL-Maghrabi and A. A. Nasef , Between semi-closed and gs-closed sets , ijgt , (1) (2) (2008).

N. Leviene , On the commutivity of the closure and the interior operator in topological spaces, Amer. Math. Monthly, 68(1961), 474-477.

N. Leviene , Semi – open sets and semi – continuity in topological spaces, Amer . Math. Monthly, 70 ( 1963) , 36-41.

N. Leviene ,Generalized closed sets in topology , Renal . Circ. Mat. Palermo , 19 ( 2) (1970) , 89-96.

S. R. Malghan , Generalized closed mappings , J. Karnatak Univ. Sci. , 27 (1982) , 82-88.

A.S. Mashhour , M.E. Abd EL-Monsef and S. N. EL-Deeb , On precontinuous and weak precontinuous mappings , Proc. Math. Phys. Soc. Egypt, 53 (1982), 47-53.

O. Njasted ,On some classes of nearly open sets , Proc. Math. 15 (1965) , 961-970.

M. K. Singal and A. R. Singal , Almost continuous mappings ,Yokohama. Math . J. ,16 (1968), 63-73.

P. Sundaram , H. Maki, and K. Balachandran , Semi generalized continuous maps and semi - spaces , Bull. Fukuoka Univ. Ed. Part (III),40 (1991), 33- 40.

M. K. R .S. Veera Kumar , Between closed sets and g-closed, Mem. Fac. Sci. Kochi. Univ. (Math.), 21(2001), 1-19.