Exploring Hyperconnectedness and Separation in Ideal Topological Spaces

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Donna Ruth P. Talo
Donna Ruth P. Talo
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Michael P. Baldado Jr.
Michael P. Baldado Jr.

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GJSFR Volume 23 Issue F6

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We came up with the concept 𝑏𝑏 * -open set which has stricter condition with respect to the notion b-open sets, introduced by Andrijevic [3] as a generalization of Levine’s [11] generalized closed sets. Anchoring on this concept, we defined 𝑏𝑏 𝐼𝐼 * * -hyperconnected sets and 𝑏𝑏 * -separated sets. Topology is seen in many areas of science, for example, it is used to model the spacetime notion of the universe. It is sometimes investigated in non-conventional ways, for example Donaldson [7] utilized mathematical concepts used by physicists to solve topological problems. These problems includes new topological sets like 𝑏𝑏 * -open set.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

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Not applicable for this article.

Donna Ruth P. Talo. 2026. \u201cExploring Hyperconnectedness and Separation in Ideal Topological Spaces\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 23 (GJSFR Volume 23 Issue F6): .

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High-resolution analysis of B+ and B- separation in space research.
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GJSFR Volume 23 Issue F6
Pg. 39- 45
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC Code: 54A05
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v1.2

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October 13, 2023

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English

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We came up with the concept 𝑏𝑏 * -open set which has stricter condition with respect to the notion b-open sets, introduced by Andrijevic [3] as a generalization of Levine’s [11] generalized closed sets. Anchoring on this concept, we defined 𝑏𝑏 𝐼𝐼 * * -hyperconnected sets and 𝑏𝑏 * -separated sets. Topology is seen in many areas of science, for example, it is used to model the spacetime notion of the universe. It is sometimes investigated in non-conventional ways, for example Donaldson [7] utilized mathematical concepts used by physicists to solve topological problems. These problems includes new topological sets like 𝑏𝑏 * -open set.

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Exploring Hyperconnectedness and Separation in Ideal Topological Spaces

Donna Ruth P. Talo
Donna Ruth P. Talo
Michael P. Baldado Jr.
Michael P. Baldado Jr.

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