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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 6 | Year 2018 | Article Id. IJMTT-V56P554 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P554

Some Allied Open Functions via Semi*Preopen and Preopen Sets in Topology


V. Ananthasuruthi, S. Pasunkili Pandian
Abstract

In this paper, we define a new classes of functions, namely p-Semi*Preopen, p*- Semi*Preopen functions and contra-p-Semi*Preopen functions using Semi*preirresolute functions, Semi*Preopen sets, and preopensets and their properties are investigated.

Keywords
Preopen sets, Semi*Preopen sets, Preopen functions, Semi*Preopen functions, p-Semi*Preopen, p*- Semi*Preopen functions and contra-p-Semi*Preopen functions.
References

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[6] Govindappa Navalagi, pre-Neighbourhoods, The Mathematics Education, XXXII, (4), Dec.1998, 201-206.
[7] N.Levine , semi open sets and semi continuity in topological spaces, Amer.Math.Monthly, 70 (1963), pp.36-41.
[8] A.S.Mashour, M.E. Abd E1-Monsef and I.A.Hasanein, On Pre Topological spaces, Bull.Math.Soc.Sci.R.S.R., 28(76)(1984), 39-45.
[9] G.Navalagi and S.D. Patil, On Contra-semiopen and Contra-semiclosed Functions, (submitted).
[10] T.Noiri, A. Generalization of closed mappings, Atti.Acad.Naz Lincei. Rend-cl.Sci.Fis.Mat.Natur.,54(8), (1973),pp.412-415.
[11] S.Pasunkili pandian., A study on semi star preopen sets in topological spaces, Ph.D Thesis, Manonmaniam Sundarnar University, Tirunelveli, India, 2013.

Citation :

V. Ananthasuruthi, S. Pasunkili Pandian, "Some Allied Open Functions via Semi*Preopen and Preopen Sets in Topology," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 6, pp. 408-412, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P554

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