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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)
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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
2- Related Theorem to Continuous Function (For Open Sets)
Link of complete Playlist of Topology.
.......................................................
#7.10.4Corollary
#TopologyTheoremImportant
f(A closure) is subset of whole closure of f(A)"
Some Related Links
1- Continuous Function in Topological Space with Examples
2- Related Theorem to Continuous Function (For Open Sets)
Link of complete Playlist of Topology.
.......................................................
#7.10.4Corollary
#TopologyTheoremImportant
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