International Journal of Mathematics Trends and Technology
Volume 60 | Number 2 | Year 2018 | Article Id. IJMTT-V60P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V60P520
We introduce and study new a type of hyperconnectedness namely, minimal hyperconnectedness(mhyperconnectednes). Several characterizations of minimal hyperconnected spaces and conditions under which m - hyperconnectedness is preserved are provided.
[1] V.Popa, and T. Noiri, On M-continuous functions, Anal. Univ. Dunarea de Jos, Galati, Ser. Mat. Fiz. Mec. Teor. Fasc.II, 18(23), 31-41, (2000).
[2] T.Noiri, A note on hyperconnected sets, Mat. Vesnik 3(16), 20- 21, (1979).
[3] T.Noiri, Functions which preserves hyperconnected spaces, Revue Romaine de Mathematiques pures et appliqués.(25), 1091- 1094, (1980).
[4] E.Ekici, Generalized hyperconnectedness. Acta Math. Hungar. 133(1- 2), 140- 147, (2011).
[5] V.Renukadevi, Remarks on Generalized Hyerconnectedness, Acta Math. Hungar. 136(3), 157-164, (2012).
[6] O.Njastad, On some class of nearly open set. pacifict. Math., 15, 961- 970, (1965).
[7] A.S.Mashhour, M. E. Abd El- Monsef, and S. N. El-Deeb, on pre-continouus and weak pre- continuous mapping. proc.Math. and phys. Soc. Egypt. 53: 47 -53, (1982).
[8] N.Levine, semi-open sets and semi-continuity in topological spaces. Amer. Math. Monthly, 70, 36 – 41, (1963).
[9] D.Andrijevic, on b-open sets, bechnk 48(1-2), 59 – 64, (1996).
[10] D.Andrijevic, Semi-preopenset. Mat. Vesnik, 38(1), 24 – 32. (1986).
[11] M.Alimohammady and M. Roohi, Fixed point in minimal spaces, Nonlinear Anal.Model. Control 10, no. 4, 305–314, (2005).
Adiya K. Hussein, "On Minimal Hyperconnectedness," International Journal of Mathematics Trends and Technology (IJMTT), vol. 60, no. 2, pp. 128-132, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V60P520
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