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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 18 Issue: 3

Some Aspects of Convergence via Pre-open Sets

Ajoy Mukharjee(Bankura University)0000-0002-8761-0412
Supriya Maity(Lalbaba College)0000-0003-3350-2480
Pages
—
Publication Date
2026-10-13
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The effects of pre-open sets on some particular types of functions, e.g., nearly continuous functions, $po$-graph via nets are also ascertained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the literature of topological spaces, it is available that nearly compact spaces are equivalent to $po$-compact spaces.
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Key Findings & Data:In the present note some characterizations concerning filters and nets are established on studying nearly compact spaces in the sense of $po$-compact spaces.
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Conclusion & Impact:The effects of pre-open sets on some particular types of functions, e.g., nearly continuous functions, $po$-graph via nets are also ascertained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:nearly compact space · $po$-compact space · $p$-convergent point

Abstract

In the literature of topological spaces, it is available that nearly compact spaces are equivalent to $po$-compact spaces. In the present note some characterizations concerning filters and nets are established on studying nearly compact spaces in the sense of $po$-compact spaces. The effects of pre-open sets on some particular types of functions, e.g., nearly continuous functions, $po$-graph via nets are also ascertained.

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Cite This Article

Mukharjee, A., Maity, S. (2026). Some Aspects of Convergence via Pre-open Sets. Turkish Journal of Mathematics and Computer Science, Volume: 18 Issue: 3. https://doi.org/10.47000/tjmcs.1837400

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