WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
A Study on Soft Compactness in Soft $$R_{0}$$ and Soft $$R_{1}$$ Spaces
Authors: , ,
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Abstract: To address challenges in solving certain problems in topology, it is often necessary to impose specific
conditions on topological spaces. This has led to the development of new concepts, such as separation axioms.
In this paper, we investigate new properties of soft $$R_{0}$$ and soft $$R_{1}$$ spaces using the concept of soft points. Our
research examines when a soft compact set behaves similarly to a soft closed set in these spaces, helping to clarify
their structural characteristics. We also explore related findings, shedding light on how soft compactness and
sof closedness interact. Additionally, we present various findings related to this topic, contributing to a deeper
understanding of soft topological spaces.
Keywords:
Soft topology, soft $$R_{0}$$ and soft $$R_{1}$$ space, soft compact space, soft closed space
Pages: 477-481
DOI: 10.37394/23206.2025.24.46