Corrections on Decompositions of ω-continuity∗

  • O.Ravi Department of Mathematics, P.M.Thevar College, Usilampatti, Madurai, Tamil Nadu, India.
  • I.Rajasekaran Department of Mathematics, P.M.Thevar College, Usilampatti, Madurai, Tamil Nadu, India.
  • M.Paranjothi Department of Mathematics, Sree Sowdambiga College of Engineering, Aruppukottai, Tamil Nadu, India.
  • S.Satheesh Kanna Department of Mathematics, Rajah Serfoji Government College, Thanjavur, Tamil Nadu, India.
Keywords: ω-R-closed set, H⋆ ω-set, ω-AB#-set, locally ω-closed set, strong β-ω-open set, ω-extremally disconnected space

Abstract

In 2009, Noiri et al [3] introduced some weaker forms of ω-open sets in topological spaces. In this paper, we introduce some new subsets of τω in topological spaces. Using the weaker forms of ω-open sets and the new subsets of τω, we obtain some new decompositions of ω-continuity.

References

M.Ganster and I.L.Reilly, Locally closed sets and LC-continuous functions, Intern. J. Math. Math. Sci., 3(1989), 417-424.

H.Z.Hdeib, ω-closed mappings, Revista Colomb. De Matem., 16(1982), 65-78.

T.Noiri, A.Al-Omari and M.S.M.Noorani, Weak forms of ω-open sets and decompositions of continuity, Eur. J. Pure Appl. Math, 2(1)(2009), 73-84.

O.Ravi, M.Paranjothi, I.Rajasekaran and S.Satheesh Kanna, ω-open sets and decompositions of continuity, Bulletin of the International Mathematical Virtual Institute, 6(2)(2016), 143-155.

O.Ravi, I.Rajasekaran, S.Satheesh Kanna and M.Paranjothi, New generalized classes of τω, Eur. J. Pure Appl. Math., 9(2)(2016), 152-164.

S.Willard, General Topology, Addison-Wesley, Reading, Mass, USA, (1970).
How to Cite
O.Ravi, I.Rajasekaran, M.Paranjothi, & S.Satheesh Kanna. (2017). Corrections on Decompositions of ω-continuity∗. International Journal of Current Research in Science and Technology, 3(1), 23-35. Retrieved from https://crst.gfer.org/index.php/crst/article/view/80
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