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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 50 | Number 1 | Year 2017 | Article Id. IJMTT-V50P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V50P507

On sgp-Closed and sgp-Open Functions in Topology


Mahesh Bhat, Md. Hanif PAGE, Dattatray. M. Hegde
Abstract

We continue the study on sgp-closed set [12] , by introducing the new classes of functions called sgp-closed and sgp-open functions in topological spaces and some of their properties are discussed by giving counter examples wherever necessary.

Keywords
sgp-closed set, sgp-open set, sgp-closed function and sgp-open function, sgp-homeomorphism.
References

[1] S. P. Arya and T. M. Nour, Characterization of s-normal spaces, Indian J. Pure appl. Math., 21(8) (1990), 717-719.
[2] S. G. Crossely and S. K. Hilderbrand. Semi closure, Texas Jl. Sci., 22(1971), 99-112.
[3] R. Devi, Studies on generalizations of closed maps and homeomorphisms in topological spaces, Ph.D thesis, Bharathiar University, Coimbatore (1994).
[4] Y. Gnanambal, Studies on generalized pre-regular closed sets and generalization of locally closed sets, Ph.D, Thesis Bharathiar University, Coimbatore, (1998).
[5] N.Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math., Monthly, 70(1963), 36- 41.
[6] N. Levine, Generalized closed sets in topology, Rend. Circ. Math. Palermo, 19(2) (1970), 89- 96.
[7] H.Maki, P.Sundaram and K.Balachandran, On Generalized Homeomorphisms in Topological Spaces, Bull. Fukuoka Univ. Ed. Part III, 40(1991), 13-21.
[8] H. Maki, J. Umehara and T. Noiri, Every topological space is pre-T1/2, Mem. Fac. Sci. Kochi Univ. Ser. A. Math., 17(1996), 33-42.
[9] S. R. Malghan, Generalized closed maps, J. Karnataka Univ. Sci., 27(1982), 82-88.

Citation :

Mahesh Bhat, Md. Hanif PAGE, Dattatray. M. Hegde, "On sgp-Closed and sgp-Open Functions in Topology," International Journal of Mathematics Trends and Technology (IJMTT), vol. 50, no. 1, pp. 53-57, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V50P507

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