Properties of Δ^{∗}-closed maps in topological spaces

Abstract

This paper is concerned with the introduction of a new notion of closed maps namely, Δ^{∗}-closed maps using Δ^{∗}-closed sets and the analysis of their significant properties in topological spaces. Also the nature of Δ^{∗}-closed maps under composition mappings and their applications are explored in this paper.

Keywords

• Δ^{∗}-closed sets,Δ^{∗}-continuous map,Δ^{∗}-irresolute map,δg-irresolute map,_{Δ^{∗}}T_{δ}-space and _{Δ^{∗}}T_{δg^{∗}}-space

References

1. Dontchev, Julian, On δ-generalised closed sets and T_{(3/4)} spaces, Mem. Fac .Sci. Kochi. Univ. Math., vol 17,(1996), 15-31.
2. Malghan, S. R., Generalised closed maps, Journal of Karnataka Univ.Sci., vol 18, (1982), 82-88.
3. Meena, K. and Sivakamasundari, K., δ(δg)^{∗}-closed Sets in topological spaces, Int. Journal of Innovative Research in Science, Engineering and Technology, vol 3, 2014, 14749--14754.
4. Meena, K. and Sivakamasundari, K., Separation axioms by Δ^{∗}-closed Sets in topological spaces, Int. Journal of Mathematical Analysis, vol 9(19), (2015), 927-934.
5. Meena, K. and Sivakamasundari, K., Δ^{∗}-continuous functions in topological spaces, Int. Journal of Science Technology and Management, vol 4(01), (2015), 182-190.
6. Meena, K. and Sivakamasundari, K., Δ^{∗}-irresolute maps in topological spaces, Int. Journal of Applied Engineering Research, vol 11(01), (2016), 320-323.
7. Noiri, T., A generalization of closed perfect functions, Journal of Korean Mathematical Society, vol 17, (1978), 540-544.
8. Sudha, R. A study on some generalizations of δ-closed sets in topological spaces, Ph.D. Thesis Avinashilingam University, Coimbatore, TamilNadu, 540-544, 2014.