Let (X,T) ---> (Y,S) be topological
spaces. Prove that the following affirmations are equivalent :
a) f:(X,T) ---> (Y,S) is continuos and open map.
b) cl( (f^{-1}) ) = (f^{-1}) [cl(B)] for
every subset B of Y.
c) int( (f^{-1}) ) = (f^{-1}) [ int(B) ] for
every subset B of Y.
Note: (f^{-1}) denotes the inverse image of B
Let (X,T) ---> (Y,S) be topological spaces. Prove that the following affirmations are equivalent : a) f:(X,T) ---> (Y,
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Let (X,T) ---> (Y,S) be topological spaces. Prove that the following affirmations are equivalent : a) f:(X,T) ---> (Y,
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