Corrections on ω-open Sets and Decompositions of Continuity∗

  • O.Ravi Department of Mathematics, P.M.Thevar College, Usilampatti, Madurai, Tamil Nadu, India.
  • M.Paranjothi Department of Mathematics, Sree Sowdambiga College of Engineering, Aruppukottai, Virudhunagar, Tamil Nadu, India
  • I.Rajasekaran Department of Mathematics, P.M.Thevar College, Usilampatti, Madurai, Tamil Nadu, India.
  • S.Satheesh Kanna Research Scholar, Department of Mathematics, Bharathidasan University, Tiruchirappalli, Tamil Nadu, India.
Keywords: Semi-ω⋆-regular set, pre-ω⋆-regular set, β-ω⋆-regular set, weak ω-AB-set

Abstract

In this paper, we introduce some generalized classes of τω in topological spaces and investigate their properties. Also we study the relations between the new generalized classes of τω and the other established generalized classes of τω. With the help of all such classes, we obtain some new decompositions of continuity

References

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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(2009), 73-84.

O.Ravi, S.Satheesh Kanna, I.Rajasekaran 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, M.Paranjothi, I.Rajasekaran, & S.Satheesh Kanna. (2017). Corrections on ω-open Sets and Decompositions of Continuity∗. International Journal of Current Research in Science and Technology, 3(1), 11-22. Retrieved from https://crst.gfer.org/index.php/crst/article/view/79
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