It is known that every polish group is isomorphic to $\text{Isom}(X)$ for some polish space $(X,\tau)$. My question is if there exist some infinite polish group such that $G\cong\text{Isom}(G)$.
Thank you.
2026-03-28 01:15:29.1774660529
Existence of a polish group $G$ such that $G\cong\text{Isom}(G)$.
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