AI Summary & Key Takeaways
AI InsightWe gave the proof in Theorem 1.2. which regardless of previous proof, if f:$X \rightarrow Y$ is mapping from a topological space X to a topological space Y which is a strong localy compact (where f denotes mapping which the function of the close graphicness and a.c.H.), then the function is continuous. (This theorem is the generalization of Theorem 1 given in.
📌 3 Key Takeaways
Abstract
In this note.the concept of almost continuity in the sense of Husain (a.c.H.) and the main Theorem 1 was given. In addition, the concept of strong localy compact was studied. We gave the proof in Theorem 1.2. which regardless of previous proof, if f:$X \rightarrow Y$ is mapping from a topological space X to a topological space Y which is a strong localy compact (where f denotes mapping which the function of the close graphicness and a.c.H.), then the function is continuous. (This theorem is the generalization of Theorem 1 given in.
Özet
Bu makalede Husain anlamında hemen hemen süreklilik kavramı ve temel teorem 1 [1] verildi. Ayrıca, kuvvetli lokal kompakt kavramı [2], çalışıldı. "Eğer X topolojik uzayından Y kuvvetli lokal kompakt uzayına giden f :$X \rightarrow Y$ fonksiyonu, kapalı grafikli ve a.c.H. ise bu takdirde f fonksiyonu süreklidir." şeklinde verilen Teorem 1.2[2]'nin ispatını, [2]'de verilenden farklı şekilde ispatladık (Bu teorem, [1]'de verilen Teorem 1'in genelleştirilmesidir.).