On Micro Topological Spaces
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.
Keywords
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.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Authors
Sakkraiveeranan Chandrasekar
This is me
Publication Date
January 1, 2019
Submission Date
June 3, 2018
Acceptance Date
-
Published in Issue
Year 2019 Number: 26