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.

As A N Niel wrote, that's false. The indicator function of the
Cantor set is continuous almost everywhere, hence is Riemann
integrable.
.



Relevant Pages

  • Re: Simple questions about topology
    ... the indicator of the cantor ternary set is not Riemman integrable as the set of discontinuities is not countable. ... Prev by Date: ...
    (sci.math)
  • Re: Simple questions about topology
    ... the indicator of the cantor ternary set is not Riemman integrable as the set of discontinuities is not countable. ... are those of the Statistics Department or of Purdue University. ... Herman Rubin, Department of Statistics, Purdue University ...
    (sci.math)