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On Ultra Separation Axioms via αω-Open Sets

  • M. Parimala
  • Cenap Ozel
  • R. UdhayakumarEmail author
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

The concept of separation of two αω-open sets is done via ultra-αω-separation. Also this separation is used to define αω-kernel and αω-closure. In addition to this, weak separation axioms like αω-T0 spaces and αω-T1 spaces are introduced, and its properties are studied.

References

  1. 1.
    Parimala, M. Udhayakumar, R. Jeevitha, R. Biju, V. : On αω-closed sets in topological spaces. Int. J. Pure Appl. Math. 115 (5), 1049–1056 (2017).Google Scholar
  2. 2.
    Sundaram, P. Shrik John, M. : On ω-closed sets in topology. Acta Ciencia Indica. 4, 389–392 (2000).Google Scholar
  3. 3.
    Veera kumar, M. K. R. S.: \(\widehat {g}\)-locally closed sets and \(\widehat {G}LC\)-functions. Indian J. Math. 43(2), 231–247 (2001).Google Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of MathematicsBannari Amman Institute of TechnologySathyamangalamIndia
  2. 2.Department of MathematicsKing Abdulaziz UniversityJeddahSaudi Arabia
  3. 3.Department of Mathematics, School of Advanced SciencesVellore Institute of TechnologyVelloreIndia

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