Research Article
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On Micro Topological Spaces

Year 2019, Issue: 26, 23 - 31, 01.01.2019

Abstract

Every year different  type of topological spaces are introduced by many topologist. Now a days available topologies are supra topology, ideal topology, bitopology, fuzzy topology, Fine topology, nano topology and so on. Nano topology introduced by Thivagar, using this nano topology we introduced micro topology and also study the concepts of micro-pre open sets and micro-semi open sets  and some of their  properties are investigated.

References

  • [1] D. Andrijevic, On the topology generated by pre-open sets, Mat. Vesnik, 39 (1987) 367-376.
  • [2] C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., (1968) 182-190.
  • [3] T. R. Hamlettand, D. I. Jankovic, Deals in General Topology, Lecture notes in Pure and Appl. Math., 123 (1990) 115-125.
  • [4] J. C. Kelly, Bitopological spaces. Proc. London Math. Soc., 13/3 (1963) 71-89.
  • [5] M. L. Thivagar and C. Richard, On Nano forms of weakly open sets,International Journal of Mathematics and Statistics Invention, 1/1 (2013) 31-37.
  • [6] A. S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deeb, On pre continuous mappings and weak pre-continuous mappings. Proc. Math. and Phys. Soc. Egypt. 53 (1982) 47-53.
  • [7] P. L. Powar and K. Rajak, Fine irresolute mappings, Journal of Advance Studies in Topology, 3/4 (2012) 125-139.
  • [8] O. Ravi, S. Ganesan and S. Chandrasekar, Almost ®gs-closed functions and separation axioms, Bulletin of Mathematical Analysis and Applications, 3 (2011) 165-177.
  • [9] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965) 338-353.
Year 2019, Issue: 26, 23 - 31, 01.01.2019

Abstract

References

  • [1] D. Andrijevic, On the topology generated by pre-open sets, Mat. Vesnik, 39 (1987) 367-376.
  • [2] C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., (1968) 182-190.
  • [3] T. R. Hamlettand, D. I. Jankovic, Deals in General Topology, Lecture notes in Pure and Appl. Math., 123 (1990) 115-125.
  • [4] J. C. Kelly, Bitopological spaces. Proc. London Math. Soc., 13/3 (1963) 71-89.
  • [5] M. L. Thivagar and C. Richard, On Nano forms of weakly open sets,International Journal of Mathematics and Statistics Invention, 1/1 (2013) 31-37.
  • [6] A. S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deeb, On pre continuous mappings and weak pre-continuous mappings. Proc. Math. and Phys. Soc. Egypt. 53 (1982) 47-53.
  • [7] P. L. Powar and K. Rajak, Fine irresolute mappings, Journal of Advance Studies in Topology, 3/4 (2012) 125-139.
  • [8] O. Ravi, S. Ganesan and S. Chandrasekar, Almost ®gs-closed functions and separation axioms, Bulletin of Mathematical Analysis and Applications, 3 (2011) 165-177.
  • [9] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965) 338-353.
There are 9 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Sakkraiveeranan Chandrasekar This is me

Publication Date January 1, 2019
Submission Date June 3, 2018
Published in Issue Year 2019 Issue: 26

Cite

APA Chandrasekar, S. (2019). On Micro Topological Spaces. Journal of New Theory(26), 23-31.
AMA Chandrasekar S. On Micro Topological Spaces. JNT. January 2019;(26):23-31.
Chicago Chandrasekar, Sakkraiveeranan. “On Micro Topological Spaces”. Journal of New Theory, no. 26 (January 2019): 23-31.
EndNote Chandrasekar S (January 1, 2019) On Micro Topological Spaces. Journal of New Theory 26 23–31.
IEEE S. Chandrasekar, “On Micro Topological Spaces”, JNT, no. 26, pp. 23–31, January 2019.
ISNAD Chandrasekar, Sakkraiveeranan. “On Micro Topological Spaces”. Journal of New Theory 26 (January 2019), 23-31.
JAMA Chandrasekar S. On Micro Topological Spaces. JNT. 2019;:23–31.
MLA Chandrasekar, Sakkraiveeranan. “On Micro Topological Spaces”. Journal of New Theory, no. 26, 2019, pp. 23-31.
Vancouver Chandrasekar S. On Micro Topological Spaces. JNT. 2019(26):23-31.


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