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On approximation of homeomorphisms of a Cantor set

On approximation of homeomorphisms of a Cantor set

We continue the study of topological properties of the group ${\rm Homeo} (X)$ of all homeomorphisms of a Cantor set $X$ with respect to the uniform topology $\tau$, which was started by Bezuglyi, Dooley, Kwiatkowski and Medynets. We prove that the se