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A New Approach to Hausdorff Space Theory via the Soft Sets

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  • Güzide Şenel

Abstract

The aim of this paper is to present the concept of soft bitopological Hausdorff space (SBT Hausdorff space) as an original study. Firstly, I introduce some new concepts in soft bitopological space such as SBT point, SBT continuous function, and SBT homeomorphism. Secondly, I define SBT Hausdorff space. I analyse whether a SBT space is Hausdorff or not by SBT homeomorphism defined from a SBT Hausdorff space to researched SBT space. I end my study by defining SBT property and hereditary SBT by SBT homeomorphism and investigate the relations between SBT space and SBT subspace.

Suggested Citation

  • Güzide Şenel, 2016. "A New Approach to Hausdorff Space Theory via the Soft Sets," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-6, September.
    • Handle: RePEc:hin:jnlmpe:2196743
    DOI: 10.1155/2016/2196743
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    Cited by:

    1. Arif Mehmood & Mohammed M. Al-Shomrani & Muhammad Asad Zaighum & Saleem Abdullah, 2020. "Characterization of Soft S-Open Sets in Bi-Soft Topological Structure Concerning Crisp Points," Mathematics, MDPI, vol. 8(12), pages 1-23, November.

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