Re: help with question

On Mon, 17 Sep 2007 03:11:25 -0400, quasi <quasi@xxxxxxxx> wrote:

On Mon, 17 Sep 2007 02:47:37 -0400, Brian VanPelt
<brvanpelt@xxxxxxxxxxxxx> wrote:

On Sun, 16 Sep 2007 08:25:00 -0500, David C. Ullrich
<ullrich@xxxxxxxxxxxxxxxx> wrote:

On Sun, 16 Sep 2007 01:45:09 -0400, Brian VanPelt
<brvanpelt@xxxxxxxxxxxxx> wrote:

On Sat, 15 Sep 2007 18:27:56 -0000, Jane <jane.oper@xxxxxxxxx> wrote:

Hello,
need help with question:
If C is a set of content 0, show that the boundary of C has content 0.
Thanks.


Let me look at a content called a Lebesgue measure, m. Now, Q is the
set of rational numbers in the reals,

m(Q intersect [0 , 1]) = 0

but the boundary of Q intersect [0 , 1] is [0 , 1] and

m([0 , 1]) = 1.

I've never seen the word content, in regards to sets, before today, so
I could be off here.

Since you've never seen the word used this way before, and
the question is obviously wrong if you interpret "content"
to mean Lebesgue measure, _why_ would you even conjecture
that that might be what it means?

See http://en.wikipedia.org/wiki/Jordan_measure

Brian


************************

David C. Ullrich

So, what's the answer?

Brian

PS This is not homework.

For the OP (who has received numerous hints, but obliviously,
repeatedly asks the same question), it probably _is_ homework.

But for you, we expect more.

Look up Jordan content.

Then look at the hint given by A N Niel in the thread "content 0".

quasi

Haha, I that A N Niel was asking a question, not giving a hint :)

Thanks,

Brian

.

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