[FOM] Q and A
vladik at utep.edu
Wed Nov 7 16:42:41 EST 2007
If I remember correctly, in the sense of, e.g., the Wiener measure,
almost all continuous functions are not differentiable anywhere.
The major difference is that in Baire-category terms, you have absolute
results, but in measure-theoretic terms, you have to specify the
measure. For example, here are other measures on the set of all
continuous functions in terms of which almost all continuous functions
> From joeshipman at aol.com
>> From: Gabriel Stolzenberg <gstolzen at math.bu.edu>
>> the set of continuous functions on [0,1] that are differentiable at
>> at least one point is a countable union of nowhere dense sets.
> Is there a measure-theoretic version of this or does it only work for
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