Let $X$ be a compact (hausdorff) topological group. Suppose that there exists an operator $A$ which is a topologically nilpotent surjective morphism of this group. Is it true that $X$ must be a trivial group or there are counterexamples?
2026-04-09 17:06:50.1775754410
Topologically nilpotent operator acting an a topological group
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