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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Characterizations and properties of hardly open functions are presented.
📌 3 Key Takeaways
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Objective & Hypothesis:A function is defined to be hardly open provided that the inverse image of each dense subset of the codomain that is contained in a proper open set is dense in the domain.
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Key Findings & Data:This form of weak openness is shown to be strictly between near feeble openness and somewhat openness.
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Conclusion & Impact:Characterizations and properties of hardly open functions are presented.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
A function is defined to be hardly open provided that the inverse image of each dense subset of the codomain that is contained in a proper open set is dense in the domain. This form of weak openness is shown to be strictly between near feeble openness and somewhat openness. Characterizations and properties of hardly open functions are presented.
Özet
Bir fonksiyona, eğer açık ve komplimanı boş olmayan açık kümeler içinde kalan ve yoğun bir kümenin ters görüntüsü olan kümeler o açık kümede yoğun ise, zayıf açık denir. Bu makalede zayıf açık fonksiyonların çeşitli karakterizasyonları verilmiştir.
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Cite This Article
BAKER, C. W. (2022). Yoğunluğa bağlı zayıf açıklık kavramları. Turkish Journal of Mathematics, Cilt: 20 - Sayı: 3, 389–394. https://ajindex.com/articles/140922