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Fixed braces problem

edited Jun 10, 2011 at 21:22

Mean on the natural numbers which is invariant with respect to the power

Consider the set $S=\{2,3,\ldots\}$ equipped with the operation $n\cdot m=n^m$.

Question: Do there exist a mean on $S$ which is left and right invariant with respect to $\cdot$?

Thanks in advance,

Valerio

asked Jun 10, 2011 at 21:02