A New Approach to Hausdorff Space Theory via the Soft Sets

Güzide Şenel

Mathematical Problems in Engineering, 2016, vol. 2016, 1-6

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2196743

DOI: 10.1155/2016/2196743

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