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Apr 19, 2011 at 20:46 comment added Andreas Thom Thanks, Alain. It's a nice result, but I do not care about the metric. So, the existence of a free subsemigroup already gives the existence of a generating set so that a binary tree is embedded.
Apr 19, 2011 at 19:48 history answered Alain Valette CC BY-SA 3.0