A New Approach to Hausdorff Space Theory via the Soft Sets. (7th September 2016)

• Record Type: Journal Article
• Authors: Şenel, Güzide
• Other Names: Gil-Lafuente Anna M. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2016(2016)
• Publication Date: 2016-09-07
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2016/2196743
• Languages: English
• ISSNs: 1024-123X

Abstract

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.