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On Ultra Separation Axioms via αω-Open Sets

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Advances in Algebra and Analysis

Part of the book series: Trends in Mathematics ((TM))

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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-T 0 spaces and αω-T 1 spaces are introduced, and its properties are studied.

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References

  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).

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  2. Sundaram, P. Shrik John, M. : On ω-closed sets in topology. Acta Ciencia Indica. 4, 389–392 (2000).

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  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).

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Author information

Authors and Affiliations

  1. Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, TN, India

    M. Parimala

  2. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

    Cenap Ozel

  3. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, TN, India

    R. Udhayakumar

Authors
  1. M. Parimala
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  2. Cenap Ozel
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  3. R. Udhayakumar
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Corresponding author

Correspondence to R. Udhayakumar .

Editor information

Editors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    V. Madhu

  2. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    A. Manimaran

  3. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    D. Easwaramoorthy

  4. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    D. Kalpanapriya

  5. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    M. Mubashir Unnissa

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Parimala, M., Ozel, C., Udhayakumar, R. (2018). On Ultra Separation Axioms via αω-Open Sets. In: Madhu, V., Manimaran, A., Easwaramoorthy, D., Kalpanapriya, D., Mubashir Unnissa, M. (eds) Advances in Algebra and Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01120-8_12

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