Is the Banach Tarski Theorem applicable to a $4D$ sphere?

Question

More generally is the theorem applicable to any dimension?

It is not applicable in dimensions less than $3.$ – bof Mar 16 '17 at 08:50 — bof, Mar 16 '17 at 08:50

score 5 · Accepted Answer · answered Mar 16 '17 at 08:59

5

Note that [the Banach-Tarski] paradox is available only in three and higher dimensions, but not in one or two dimensions.

answered Mar 16 '17 at 08:59

Patrick Stevens

1 Answers1