New Results on Soft Generalized Topological Spaces

Al-Mufarrij, J. and Saleh, S. (2023) New Results on Soft Generalized Topological Spaces. Journal of Mathematics and Computer Science, 32 (01). pp. 43-53. ISSN 2008949X

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Abstract

This work aims to introduce and discuss two new classes of separation properties namely, soft generalized R0R0 and R1R1 in a soft generalized topological space defined on an initial universe set, by using the notions of soft gg-open sets and soft gg-closure operator. We investigate some of their properties and characterizations. We further, investigate the relationships between different generalized structures of soft topology, providing some illustrative examples and results. Additionally, we present connections between these separation properties and those in some generated topologies. Furthermore, we show that being SGRiSGRi, i=0,1i=0,1 are soft generalized topological properties.

Item Type: Article
Uncontrolled Keywords: Soft sets, soft g-open sets, soft generalized topology, Sg-closure, SG-kernel, soft generalized R0 and R1 spaces.
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Department of Computer Science > Research papers
Depositing User: ePrints Editor
Date Deposited: 30 Oct 2024 21:42
Last Modified: 30 Oct 2024 21:42
URI: https://eprints.cihanuniversity.edu.iq/id/eprint/2512

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