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...
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#7.10.4Corollary
#TopologyTheoremImportant