Re: Equidecomposable.

In article
<d513f142-9f71-4145-b08c-26296e4c94e4@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
Kenshin <rurouni_sohjiro@xxxxxxxxxxx> wrote:

http://en.wikipedia.org/wiki/Banach%E2%80%93Tarski_paradox#Formal_treatment
(If you do not know the word, see the site above)

I've heard about equidecomposable set, and I've recognized that O =
{(x,y) | x^2 + y^2 = 1} and O\(0,1) are equidecomposable.


Where did you get that? I doubt it.

But how about the interval [0,1] and (0,1]? I guess they're not
equidecomposable, but I have no idea to prove it.

Please give me a hint(or solution :-) ) to prove or disprove it. Thank
you.

--
G. A. Edgar http://www.math.ohio-state.edu/~edgar/
.