Insights A Continuous, Nowhere Differentiable Function: Part 2 - comments

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The discussion centers on jbunniii's post about continuous, nowhere differentiable functions. Participants express enthusiasm for the upcoming part 3 of the series. A key point made is that the set of functions differentiable at least at one point is of the first Baire category in the space of continuous functions on a closed interval. This highlights the rarity of differentiable functions within this space. The conversation emphasizes the complexity of identifying nowhere differentiable functions compared to proving their theoretical properties.
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jbunniii submitted a new PF Insights post

A Continuous, Nowhere Differentiable Function: Part 2

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note also that the set of differentiable at least at one point functions has the first Baire category in ##C[a,b]##. This fact is much simpler to prove than to find nowhere differentiable function explicitly. So that in some sense the set of differentiable functions is very small in ##C[a,b]##
 

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