http://mathforum.org/epigone/sci.math/pringquibroi ::
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II. DERIVATIVES DISCONTINUOUS ON A SET OF POSITIVE MEASURE.
In 1881 Volterra [28] published an example of a function having a
bounded derivative that was not continuous on a set of positive
measure. One of the more novel aspects of this construction
at that time was the use of a nowhere dense set having positive
measure. [Volterra had just published (same volume of the same
journal, in fact) an example of such a set. Independently,
H. Sm
