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Connectedness and Local Connectedness on Infra Soft Topological Spaces

Author

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  • Tareq M. Al-shami

    (Department of Mathematics, Sana’a University, Sana’a P.O. Box 1247, Yemen)

  • El-Sayed A. Abo-Tabl

    (Department of Mathematics, College of Arts and Science, Methnab, Qassim University, Buridah 51931, Saudi Arabia
    Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt)

Abstract

This year, we introduced the concept of infra soft topology as a new generalization of soft topology. To complete our analysis of this space, we devote this paper to presenting the concepts of infra soft connected and infra soft locally connected spaces. We provide some descriptions for infra soft connectedness and elucidate that there is no relationship between an infra soft topological space and its parametric infra topological spaces with respect to the property of infra soft connectedness. We discuss the behaviors of infra soft connected and infra soft locally connected spaces under infra soft homeomorphism maps and a finite product of soft spaces. We complete this manuscript by defining a component of a soft point and establishing its main properties. We determine the conditions under which the number of components is finite or countable, and we discuss under what conditions the infra soft connected subsets are components.

Suggested Citation

  • Tareq M. Al-shami & El-Sayed A. Abo-Tabl, 2021. "Connectedness and Local Connectedness on Infra Soft Topological Spaces," Mathematics, MDPI, vol. 9(15), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:15:p:1759-:d:601579
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    References listed on IDEAS

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    1. Tareq M. Al-shami, 2021. "New Soft Structure: Infra Soft Topological Spaces," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-12, July.
    2. Athar Kharal & B. Ahmad, 2011. "Mappings On Soft Classes," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 7(03), pages 471-481.
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    Cited by:

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