Non differentiable, continuous functions in metric spaces. – math.stackexchange.com

Non differentiable, continuous functions in metric spaces. – math.stackexchange.com

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Take the metric space $(C([0,1]),d)$ with $C([0,1])$ the set that contains all continuous functions $f: [0,1] \to \mathbb{R} $ and the metric $d(f,g) = \sup \{|f(x)-g(x)| : x \in [0,1]\}$. Now, I was ...

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