ON DELTA g*- LOCALLY CLOSED SETS AND LOCALLY CONTINUOUS FUNCTIONS IN TOPOLOGICAL SPACES

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sudha - Rajesh

Abstract

Abstract: In this paper three new classes of locally closed sets are introduced by using dg*-closed sets in topological spaces. Also their continuous functions and irresolute functions are introduced and discussed their properties.

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How to Cite
Rajesh, sudha .-. (2014). ON DELTA g*- LOCALLY CLOSED SETS AND LOCALLY CONTINUOUS FUNCTIONS IN TOPOLOGICAL SPACES. Journal of Global Research in Mathematical Archives(JGRMA), 2(4), 50–60. Retrieved from https://jgrma.com/index.php/jgrma/article/view/196
Section
Research Paper
Author Biography

sudha - Rajesh, Assistant Professor Department of Mathematics SNS College of technology Coimbatore-35 Tamil Nadu India

Assistant Professor
Department of Mathematics
SNS College of technology
Coimbatore-35
Tamil Nadu
India

References

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

K. Balachandran, P. Sundaram and H. Maki, “Generalized locally closed sets and GLC continuous functions,†Indian J. Pure. Appl. Math., 27, 1996, pp. 235 – 244.

N. Bourbaki, “General topology,†Addison-Wesley, Reading, Mass (1966).

S.G. Crossley and S.K. Hildebrand, “Semi-topological properties,†Fund. Math., 74, 1972, pp. 233 – 254.

J. Dontchev and M. Ganster, “On ï¤-generalized closed sets and -spaces,†Mem. Fac. Sci. Kochi. Univ. Math, 17, 1996, pp.15 – 31.

M. Ganster and I.L. Reilly, “Locally closed sets and LC-continuous functions,†Internat. J. Math. and Math. Sci., 12, 1989, pp. 417 – 424.

Y. Gnanambal, “Studies on generalized pre-regular closed sets and generalizations of locally closed sets,†Ph.D. Thesis, Bharathiyar University, Coimbatore (1998).

N. Levine, “Semi-open sets and semi-continuity in topological spaces,†Amer. Math. Monthly, 70, 1963, pp. 36 – 41.

N. Levine, “Generalized closed sets in topology,†Rend. Circ. Math. Palermo, 19, 1970, pp. 89 – 96.

M. Stone, “Application of the theory of Boolean rings to general topology,†Trans. Amer. Math. Soc., 41, 1937, pp.374 – 481.

R. Sudha, “A Study on some generalizations of ï¤-closed sets in topological spaces,†Ph.D. Thesis, Avinashilingam Institute for Home Science and higher education for women, Coimbatore, (Submitted).

R. Sudha and K. Sivakamasundari, “On ï¤g*-closed sets in topological spaces,†International Journal of Mathematical Achieve, Vol 3, Issue 4, 2012, pp.1222 – 1230.

P. Sundaram, “Studied on generalizations of continuous maps in topological spaces,†Ph.D. Thesis, Bharathiar University, Coimbatore (1991).

N.V.Velicko, “H-closed topological spaces,†Amer. Math. Soc. Transl., 78, 1968, pp.103 – 118.