Re: Simple questions about topology

In article <198770.1114220034602.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxx>,
michael lawton <lawtorm@xxxxxxxxxxx> wrote:
>Actually, the indicator of the cantor ternary set is not Riemman integrable as the set of discontinuities is not countable.

It still is; it is closed and of Lebesgue measure 0, and hence
can be enclosed in the finite union of intervals, the sum of
whose lengths is as small as desired.
--
This address is for information only. I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Department of Statistics, Purdue University
hrubin@xxxxxxxxxxxxxxx Phone: (765)494-6054 FAX: (765)494-0558
.

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