Bioperation approach to Przemski's decomposition theorems
Keywords:Topological spaces, γ ∨ γ'-open set
Przemski introduced D(α, s)-set, D(α, b)-set, D(p, sp)-set, D(p, b)- set and D(b, sp)-set to obtain several decompositions of continuity. In this paper, we extend these sets via bioperation and obtain new decompositions of continuity.
S. Kasahara, “Operation-compact spaces”, Mathematics japonica, vol. 24, pp. 97-105, 1979.
R. Nirmala and N. Rajesh, “Bioperation-regular open sets”, Aryabhata journal mathematics informatics, vol. 8, no. 1, pp. 53-62, 2016.
R. Nirmala and N. Rajesh, “Generalization of semiopen sets via bioperation”(under preparation).
H. Ogata and H. Maki, “Bioperation on topological spaces”, Mathematics japonica, vol. 38, no. 5, pp. 981-985, 1993.
M. Perzemshi, “A decomposition of continuity and α-continuity”, Acta mathematica hungarica, vol. 61, no. 1/2), pp. 93-98, 1993, doi: 10.1007/BF01872101
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Copyright (c) 2020 Carlos Rafael Carpintero, Rajendren Nirmala, N. Rajesh, Ennis Rafael Rosas Rodriguez
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