Re: Topology theorem
From: José Carlos Santos (jcsantos_at_fc.up.pt)
Date: 02/24/05
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Date: Thu, 24 Feb 2005 09:25:23 +0000
On 24-02-2005 9:08, Willem H. de Boer wrote:
> Hiya,
>
> The other night I was flicking through "Surely you're joking Mr. Feynman"
> and
> read a passage about him having a bet with a couple of mathematicians; it
> was
> about whether or not he could tell if a certain theorem in Topology was true
> or
> false. The theorem had to do with cutting up a ball into finite pieces, then
> putting
> it back together and you would be left with enough pieces for another ball!
> Anyone
> know the name of this theorem?
It's known as Banach-Tarski paradox. See, for instance:
http://mathworld.wolfram.com/Banach-TarskiParadox.html
Best regards,
Jose Carlos Santos
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