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Journals / Gazi University Journal of Science / 2020 / Cilt: 33 - Sayı: 2

Local $T_3$ Constant Filter Convergence Spaces

Tesnim Meryem BARAN
Ayhan ERCIYES
Pages
446–454
Publication Date
2022-10-19
DOI
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⚡ TL;DR(Too Long; Didn't Read)

Moreover, we show that if a constant filter convergence space (B,K) is 𝑇̅3(resp. 𝑇3′, 𝑆𝑇̅3 or 𝑆𝑇3′) at p and M⊂B with p∈M, then M is 𝑇̅3 (resp. 𝑇3′) at p

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we characterize each of local $T_3$(resp. 𝑇3′, 𝑆𝑇̅3, 𝑆𝑇3′) constant filter convergencespaces and investigate the relationships among these various forms.
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Key Findings & Data:We show that the fullsubcategories 𝑇̅3𝐶𝑜𝑛𝐹𝐶𝑂 and 𝑆𝑇̅3𝐶𝑜𝑛𝐹𝐶𝑂 (resp. 𝑇3′𝐶𝑜𝑛𝐹𝐶𝑂 and 𝑆𝑇3′𝐶𝑜𝑛𝐹𝐶𝑂) of 𝐶𝑜𝑛𝐹𝐶𝑂 areisomorphic categories.
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Conclusion & Impact:Moreover, we show that if a constant filter convergence space (B,K) is 𝑇̅3(resp. 𝑇3′, 𝑆𝑇̅3 or 𝑆𝑇3′) at p and M⊂B with p∈M, then M is 𝑇̅3 (resp. 𝑇3′) at p
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we characterize each of local $T_3$(resp. 𝑇3′, 𝑆𝑇̅3, 𝑆𝑇3′) constant filter convergencespaces and investigate the relationships among these various forms. We show that the fullsubcategories 𝑇̅3𝐶𝑜𝑛𝐹𝐶𝑂 and 𝑆𝑇̅3𝐶𝑜𝑛𝐹𝐶𝑂 (resp. 𝑇3′𝐶𝑜𝑛𝐹𝐶𝑂 and 𝑆𝑇3′𝐶𝑜𝑛𝐹𝐶𝑂) of 𝐶𝑜𝑛𝐹𝐶𝑂 areisomorphic categories. Moreover, we show that if a constant filter convergence space (B,K) is 𝑇̅3(resp. 𝑇3′, 𝑆𝑇̅3 or 𝑆𝑇3′) at p and M⊂B with p∈M, then M is 𝑇̅3 (resp. 𝑇3′) at p

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Cite This Article

BARAN, T. M., ERCIYES, A. (2022). Local $T_3$ Constant Filter Convergence Spaces. Gazi University Journal of Science, Cilt: 33 - Sayı: 2, 446–454. https://ajindex.com/articles/521254

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