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Journals / Gazi University Journal of Science / 2026 / Volume: 33 Issue: 2

Local T_3 Constant Filter Convergence Spaces

Ayhan Erciyes(AKSARAY UNIVERSITY)0000-0002-0942-5182
Tesnim Meryem Baran(T.C. MİLLİ EĞİTİM BAKANLIĞI)0000-0001-6639-8654
Pages
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Publication Date
2020-06-01
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AI Summary & Key Takeaways

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

T_3^' , ST _3 or ST_3') at p and M⊂B with p∈M, then M is T _3 (resp.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we characterize each of local T_3(resp.
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Key Findings & Data:T_3', ST _3, ST_3') constant filter convergence spaces and investigate the relationships among these various forms.
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Conclusion & Impact:T_3^' , ST _3 or ST_3') at p and M⊂B with p∈M, then M is T _3 (resp.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Topological category · Convergence spaces · PreHausdorff spaces

Abstract

In this paper, we characterize each of local T_3(resp. T_3', ST _3, ST_3') constant filter convergence spaces and investigate the relationships among these various forms. We show that the full subcategories T_3 ConFCO and ST_3 ConFCO (resp. T_3'ConFCO and ST_3'ConFCO) of ConFCO are isomorphic categories. Moreover, we show that if a constant filter convergence space (B,K) is T _3 (resp. T_3^' , ST _3 or ST_3') at p and M⊂B with p∈M, then M is T _3 (resp. T_3^' ) at p.

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Cite This Article

Erciyes, A., Baran, T. M. (2020). Local T_3 Constant Filter Convergence Spaces. Gazi University Journal of Science, Volume: 33 Issue: 2. https://doi.org/10.35378/gujs.602155

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