Comparison of Two Types of Separation Axioms in Soft Topological Spaces

2021/08/20 by Xuechong Guan, Guan, Xuechong
Computer Science · Decision Sciences · #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN)

paper · pdf · doi:10.48550/arxiv.2109.05926

openalex publication_date 2021/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the study of soft topological spaces, two types of separation axioms have given if soft points and single point soft sets have been taken as separated objects respectively. In this paper, some examples and properties are given to explore differences between separation axioms given in \citetopological,Separation.

Citations

• The parameterization reduction of soft sets and its applications
• Soft set theory—First results
• On some new operations in soft set theory

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• Separation Axioms in Bi-soft Topological Spaces
• A Soft Embedding Lemma for Soft Topological Spaces
• Some Results Related to Soft Topological Spaces
• Some Separation Axioms in Topological Spaces
• Fuzzy soft seperation axioms with sense of Ganguly and Saha