A Study on Soft Compactness in Soft R0 and Soft R1 Spaces

OpenAlex İngilizce

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 R0 and soft R1 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.