On a class of \(b\) -\(\gamma\)-open sets in a topological space

Downloads

DOI:

https://doi.org/10.26637/MJM0803/0043

Abstract

In this paper, we analyze the properties of \(b-\gamma\)-open sets in a topological space. Further, the concept of \(b-\gamma\)- boundary, \(b- \gamma\)-exterior, \(b-\gamma\)-limit point, \(b- \gamma\)-neighborhood, locally \(b- \gamma\)-closed and \(b- \gamma\)-generalized closed sets are introduced and investigated.

Keywords:

\(b- \gamma\)-open sets , \(b -\gamma\)-boundary , \(b-\gamma\)-exterior, \(b-\gamma\)-limit point , \(b-\gamma\)-neighborhood , \(b- \gamma\)-generalized closed

Mathematics Subject Classification:

Mathematics
  • C. Sivashanmugaraja Department of Mathematics, Periyar Government Arts College, Cuddalore-607001, Tamil Nadu, India.
  • Pages: 977-981
  • Date Published: 01-07-2020
  • Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

D. Andrijevic, On b-open sets, MatematickiVesnik, 48(1996), 59-64.

S. Kasahara, Operation-Compact Spaces, Math. Japon, 24(1979), 97-105.

H. Z. Ibrahim, Weak forms of $gamma$-open sets and New separation axioms, Int. J. Sci. Eng. Res., 3(5)(2012), 1-4.

H. Ogata, Operation on topological spaces and associated topology, Math. Jap., 36(1)(1991), 175-184.

C. Sivashanmugaraja and A. Vadivel, Weak forms of fuzzy $gamma$-open sets, Global Journal of Pure and Applied Mathematics, 13(2)(2017), 251-261.

  • NA

Metrics

Metrics Loading ...

Published

01-07-2020

How to Cite

C. Sivashanmugaraja. “On a Class of \(b\) -\(\gamma\)-Open Sets in a Topological Space”. Malaya Journal of Matematik, vol. 8, no. 03, July 2020, pp. 977-81, doi:10.26637/MJM0803/0043.