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A function f is continuous on X iff subset A of X, f(A closure) is subset of whole closure of f(A)

Education With Ayesha

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A function f is continuous on X iff subset A of X, f(A closure) is subset of whole closure of f(A)

8 064 просмотра · 5 л. назад
Education With Ayesha
8,36 тыс. подписчиков
8 064 просмотра · 5 л. назад
In this video we will discuss another theorem in Topology | Theorem 7.10.4 Corollary which states that "A function f is continuous on X if and only if for any subset A of X , f(A closure) is subset of whole closure of f(A)" Some Related Links 1- Continuous Function in Topological Space with Examples    • Continuous Function in Topological Spaces ...   2- Related Theorem to Continuous Function (For Open Sets)    • Continuous Function in Topological Spaces ...   Link of complete Playlist of Topology.    • Topology on a Set | Its Conditions & Examp...   ....................................................... #7.10.4Corollary #TopologyTheoremImportant