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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Moreover we show that the campactness hypothesis cannot be dropped.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study we show that homogenization and dehamogenization are true for the (pre)-sheaves of rings and homogenization functor commutes with sheafıfication whereas the same is true for dehomogenization when the topological space is (quasi) compact.
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Key Findings & Data:In this study we show that homogenization and dehamogenization are true for the (pre)-sheaves of rings and homogenization functor commutes with sheafıfication whereas the same is true for dehomogenization when the topological space is (quasi) compact.
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Conclusion & Impact:Moreover we show that the campactness hypothesis cannot be dropped.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this study we show that homogenization and dehamogenization are true for the (pre)-sheaves of rings and homogenization functor commutes with sheafıfication whereas the same is true for dehomogenization when the topological space is (quasi) compact. Moreover we show that the campactness hypothesis cannot be dropped.
Özet
Bu çalışmada, halkaların demetleri (öndemetleri) için homogen izeyşin ve dehomogenizeyşinin doğru olduğu ve topolojik uzay (quasi) kompakt olduğunda demetleştirme, homogenizeyşin funktoru ile dehomogenizeyşin funktorunu komutatif yaptığı gösterilmiştir. Ayrıca gösterilmiştir ki kompakhk hipotezden kaldırılamaz.
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Cite This Article
ÖÇAL, A. A., YILDIZ, C. (2022). On the homogenization of sheaves. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 13 - Sayı: 1-2, 11–22. https://ajindex.com/articles/503260