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A new approach to Hausdorff space theory via the soft sets - MaRDI portal

A new approach to Hausdorff space theory via the soft sets (Q1792815)

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scientific article; zbMATH DE number 6952900
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A new approach to Hausdorff space theory via the soft sets
scientific article; zbMATH DE number 6952900

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    A new approach to Hausdorff space theory via the soft sets (English)
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    12 October 2018
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    Summary: 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.
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