[FOM] Q and A

joeshipman@aol.com joeshipman at aol.com
Wed Nov 7 01:39:54 EST 2007


>-----Original Message-----
>From: Gabriel Stolzenberg <gstolzen at math.bu.edu>
>
>"A Primer of Real Functions" by Boas & Boas, is advertised as having 10
>of them, one of which, almost surely, is the striking fact that "most"
>continuous functions on [0,1] are nowhere differentiable.  (E.g., 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 
category?

-- JS
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