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A topological group is a group $G$ together with a topology on the elements of $G$ such that the group operation and group inverse function are both continuous (with respect to the topology).
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group actions in dimension 2 and 3
I am looking for a reference to the following claims:
Any compact group (connected or not) acting on $S^2$ is differentiably conjugate to a linear action. This must be classical.
A circle $S^1$ …