Semi-Convergence in Advanced Topological Frameworks
Abstract
This study establishes the interplay between standard convergence and semi-convergence in topological spaces. Convergence and semi-convergence differences are illustrated with a counterexample. Additionally, an examination of semi-convergence's behavior in irresolute mappings reveals how it affects continuity and function characteristics. Semi-limit points and semi-cluster points are defined in new ways and their features in different topological settings are described by essential theorems. The final section looks at how semi-convergence behaves in product spaces, showing how it interacts with product topologies and establishing important findings that enhance the field's understanding of its study.
Keywords
References
- Bal, P., De, R., On strongly star semi-compactness of topological spaces, Khayyam Journal of Mathematics, 9(1)(2023), 54–60.
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- Das, P., Bal, P., Statistical Convergence restricted by weight functions and its application in the variation of γ-covers, Rendiconti dell’Istituto di Matematica dell’Universit`a di Trieste: an International Journal of Mathematics, 56(2024).
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Details
Primary Language
English
Subjects
Topology
Journal Section
Research Article
Publication Date
February 23, 2026
Submission Date
March 10, 2025
Acceptance Date
October 2, 2025
Published in Issue
Year 2026 Volume: 18 Number: 1
APA
Bal, P., & Das, P. (2026). Semi-Convergence in Advanced Topological Frameworks. Turkish Journal of Mathematics and Computer Science, 18(1), 171-174. https://doi.org/10.47000/tjmcs.1655143
AMA
1.Bal P, Das P. Semi-Convergence in Advanced Topological Frameworks. TJMCS. 2026;18(1):171-174. doi:10.47000/tjmcs.1655143
Chicago
Bal, Prasenjit, and Parthiba Das. 2026. “Semi-Convergence in Advanced Topological Frameworks”. Turkish Journal of Mathematics and Computer Science 18 (1): 171-74. https://doi.org/10.47000/tjmcs.1655143.
EndNote
Bal P, Das P (February 1, 2026) Semi-Convergence in Advanced Topological Frameworks. Turkish Journal of Mathematics and Computer Science 18 1 171–174.
IEEE
[1]P. Bal and P. Das, “Semi-Convergence in Advanced Topological Frameworks”, TJMCS, vol. 18, no. 1, pp. 171–174, Feb. 2026, doi: 10.47000/tjmcs.1655143.
ISNAD
Bal, Prasenjit - Das, Parthiba. “Semi-Convergence in Advanced Topological Frameworks”. Turkish Journal of Mathematics and Computer Science 18/1 (February 1, 2026): 171-174. https://doi.org/10.47000/tjmcs.1655143.
JAMA
1.Bal P, Das P. Semi-Convergence in Advanced Topological Frameworks. TJMCS. 2026;18:171–174.
MLA
Bal, Prasenjit, and Parthiba Das. “Semi-Convergence in Advanced Topological Frameworks”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 1, Feb. 2026, pp. 171-4, doi:10.47000/tjmcs.1655143.
Vancouver
1.Prasenjit Bal, Parthiba Das. Semi-Convergence in Advanced Topological Frameworks. TJMCS. 2026 Feb. 1;18(1):171-4. doi:10.47000/tjmcs.1655143