Let be the group of all permutations of , viewed as a subspace of Baire space .
How do I prove that there is no left-invariant complete metric on ?
A metric is left-invariant if , for all x, y, z.
Thank you.
Let be the group of all permutations of , viewed as a subspace of Baire space .
How do I prove that there is no left-invariant complete metric on ?
A metric is left-invariant if , for all x, y, z.
Thank you.