Banach-Tarski paradox
<mathematics> It is possible to cut a solid ball into finitely many
pieces (actually about half a dozen), and then put the pieces together again to
get two solid balls, each the same size as the original.
This paradox is a consequence of the Axiom of Choice.
(1995-03-29)
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Banach algebra « Banach inverse mapping theorem « Banach
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