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Dergiler / Konuralp Journal of Mathematics / 2026 / Volume: 8 Issue: 1

Closure Operators in Constant Filter Convergence Spaces

Ayhan Erciyes(Aksaray Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü)
Tesnim Meryem Baran(T.C. MİLLİ EĞİTİM BAKANLIĞI)0000-0001-6639-8654
Muhammad Qasim(Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), H-12, Islamabad)0000-0003-0279-5305
Sayfa
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Yayın Tarihi
2020-04-15
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we investigate the relationship among these subcategories.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we define two notions of closure in the category of constant filter convergence spaces which satisfy productivity, idempotency, and hereditariness.
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Temel Bulgular & Veri:Moreover, by using these closure operators, we characterize each of $T_{i}$ constant filter convergence spaces, $i=0,1,2$ and show that each of these subcategories consisting of $T_{i}$ constant filter convergence spaces, $i=0,1,2$, are epireflective.
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Sonuç & Katkı:Finally, we investigate the relationship among these subcategories.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Topological category · closure operator · constant filter convergence spaces

Abstract

In this paper, we define two notions of closure in the category of constant filter convergence spaces which satisfy productivity, idempotency, and hereditariness. Moreover, by using these closure operators, we characterize each of $T_{i}$ constant filter convergence spaces, $i=0,1,2$ and show that each of these subcategories consisting of $T_{i}$ constant filter convergence spaces, $i=0,1,2$, are epireflective. Finally, we investigate the relationship among these subcategories.

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Bu Makaleye Atıf Yap

Erciyes, A., Baran, T. M., Qasim, M. (2020). Closure Operators in Constant Filter Convergence Spaces. Konuralp Journal of Mathematics, Volume: 8 Issue: 1. https://ajindex.com/articles/1521685

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Kaynakça (18)

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