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Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 9 Sayı: 2

The Quasicompact-Open Topology on QC(X)

QC(X) Üzerinde Yarı Kompakt-Açık Topoloji

İsmail Osmanoğlu(NEVŞEHİR HACI BEKTAŞ VELİ ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ)0000-0002-1005-4075
Pages
1090–1097
Publication Date
2019-06-01
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AI Summary & Key Takeaways

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

Then metrizability, complete metrizability, separability and second countability of this topology are studied in detail.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper introduces the quasicompact-open topology on the set of all realvalued functions defined on a Tychonoff space, which are continuous on quasicompact subsets of .
📊
Key Findings & Data:This paper introduces the quasicompact-open topology on the set of all realvalued functions defined on a Tychonoff space, which are continuous on quasicompact subsets of .
💡
Conclusion & Impact:Then metrizability, complete metrizability, separability and second countability of this topology are studied in detail.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Fonksiyon uzayı · Metriklenebilirlik · Tam metriklenebilirlik

Abstract

This paper introduces the quasicompact-open topology on the set of all realvalued functions defined on a Tychonoff space, which are continuous on quasicompact subsets of . Then metrizability, complete metrizability, separability and second countability of this topology are studied in detail.

Özet

Bu makalede, Tychonoff uzayının yarı kompakt alt kümeleri üzerinde sürekli olan tüm reel değerli fonksiyonların kümesi üzerindeki yarı kompakt-açık topoloji tanıtıldı. Daha sonra bu topolojinin metriklenebilirliği, tam metriklenebilirliği, ayrılabilirliği ve ikinci sayılabilirliği ayrıntılı olarak incelendi.

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Cite This Article

Osmanoğlu, İ. (2019). The Quasicompact-Open Topology on QC(X). Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 9 Sayı: 2, 1090–1097. https://doi.org/10.21597/jist.481927

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