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

Local $T_3$ Constant Filter Convergence Spaces

Tesnim Meryem BARAN
Ayhan ERCIYES
Sayfa
446–454
Yayın Tarihi
2022-10-19
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:We show that the fullsubcategories 𝑇̅3𝐶𝑜𝑛𝐹𝐶𝑂 and 𝑆𝑇̅3𝐶𝑜𝑛𝐹𝐶𝑂 (resp. 𝑇3′𝐶𝑜𝑛𝐹𝐶𝑂 and 𝑆𝑇3′𝐶𝑜𝑛𝐹𝐶𝑂) of 𝐶𝑜𝑛𝐹𝐶𝑂 areisomorphic categories.
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Sonuç & Katkı: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
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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