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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 61 | Number 3 | Year 2018 | Article Id. IJMTT-V61P531 | DOI : https://doi.org/10.14445/22315373/IJMTT-V61P531

Application of δ − Pre − I − Open Sets in Ideal Topological Spaces


R. Sajuntha
Abstract

In this paper we introduce some weak separation axioms by utilizing the notions of pre- I-open sets and the pre- I-closure operator. Also we define Spaces, spaces and symmetric spaces and show that and spaces are equivalent.

Keywords
ideal spaces, δ-pre- I-open, δ-pre- I-closed set, (δ,pl)-T1* (δ,pl)-R°* space and symmetric space.
References

[1] M. Caldas, T. Fukutake, S. Jafari and T. Noiri, Some applications of δ-pre open sets in topological spaces, Bull. Math. Acad. Sinica, Vol.33(3)(2005).
[2] J. Dontchev, On pre-I-open sets and a decomposition of I-continuity, Banyan Math. J., 2(1996).
[3] D. Jankovic and T.R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97(4)(1990), 295-310.
[4] K. Kuratowski, Topology, Vol. I, Academic Press, New York, 1996.
[5] R. Vaidyanathaswamy, The localization theory in set topology, Proc. Indian Acad. Sci.,20(1945), 51-61.
[6] S. Yuksel, A. Acikgoz, T. Noiri, On continuous functions, Turk. J. Math. 29 (2005), 39-51.

Citation :

R. Sajuntha, "Application of δ − Pre − I − Open Sets in Ideal Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 61, no. 3, pp. 220-226, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V61P531

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