On Micro - b ̇ - open sets and Micro - b ̇ - continuity

Main Article Content

Taha H. Jasim
Marwah D. Sultan

Abstract

The purpose of this research is generalize the concepts of micro  openset, so we study the relation this new concept open set micro-pre-open set, micro-semi-open set, micro  open set, and micro openset and micro open continuity and micro  irresolute continuity in micro topological space and study the relationship among them, many theorems were proved as characteristic of these type of continuity and some examples were introduced.

Article Details

How to Cite
Taha H. Jasim, & Marwah D. Sultan. (2020). On Micro - b ̇ - open sets and Micro - b ̇ - continuity. Tikrit Journal of Pure Science, 25(5), 124–129. https://doi.org/10.25130/tjps.v25i5.300
Section
Articles

References

[1] Thivagar .M.L and Richard .C, (2013), On nano forms of weakly open sets, International Journal of Mathematics and Statistic Invention, 1/1, 31 – 37 .

[2] Bhuvaneswari. M, (2017). A study on nano topology, Coimatore 641 105, India department of mathematics Nehru arts and science college , 1(2017), 52 – 54 .

[3] Chandrasekar. S, (2019) On Micro topological spaces, Journal of New theory, PG and research department of mathematics, Arignar anna government arts college, Namakkal (DT), Tamil Nadu, India, 2149 – 1402, 23 – 31 . http:// www. Newtheory .org

[4] Revalthy. A and Ganambal llango,(2015) On Nano –open sets, Int. Jr. of Engineering, Contemporary Mathematics and Scinces, 1(2), 2250-3099

[5] Andrijevic. D.(1987). On the topology generated by pre – open set, Mat. Vesnik, 39, 367 – 376.

[6] Andrijevic. D, (1996), b open sets, Math . Vesnik, 48(1), 59 – 64 .

[7] Primalia. M, and others ,(2016 ) On nano b – open sets in Nano – topological spaces , Journal of mathematics and statistics (JJMS) 9(3), 173 – 184 .

[8] Mary. D.A and Arokia Rani. A, (2014) On semi pre – open sets in nano topological spaces, Math. Sci. Int. Res. Jnl, 3 , 771 – 773.

[9] Levine.N. (1963). Semi open sets and semi continuouty in Topological spaces . Amer. Math . Monthly, 70, 36 – 41 .

[10] Mashhour. A.S, Abd El – Monsef. M.E and El – Deeb. S.N,(1982), On pre – continuous mappings and weak pre continuous mappings. Proc. Math. and Phys. Soc. Egypt. 53, 47 – 53.

[11] Taha. H. J. and others, (2018). A new Types of Contra Continuity in Bi-supra Topological Space ,Tikrit Journal of pure Science, 20(4) ,170-176.

[12] Power. P. L and Rajak. K. (2012). Fine irresolute mappings, Journal of Advanced Studies in Topology, 3/4, 125 -139.