[FOM] Banach Tarski Paradox/Line

W.Taylor at math.canterbury.ac.nz W.Taylor at math.canterbury.ac.nz
Mon Nov 28 05:40:08 EST 2011

Quoting pax0 at seznam.cz:

> Is the Banach Tarski paradox provable for the unit real interval;
> i.e. is there a possibility for duplicating [0,1].
> If not, where is the obstacle?

There are no non-amenable subgroups of the real line.

- b

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