2. Function in metric space is continuous iff inverse image of open set is open | in Hindi

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A mapping f is continuous iff inverse of f(V) is open in X for every open set V in Y.

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f is uniformly continous Xn is Cauchy sequence in X then f(Xn) is cauchy sequence in Y | Msc/Bsc

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A Function from X to Y is Continuous iff for every open set V in Y f–1(V) is open in X

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8. Uniform Continuity in metric space || Diff b/w continuity & uniform continuity | in Hindi