What is the normalizer of the group of $C^\infty$ diffeomorphisms on $[0, 1]$, with group law given by composition, in the group of all homeomorphisms of $[0, 1]$?
If the answer is known, is there some "elementary" proof for the result?
Normalizer of the group of segment $C^\infty$ diffeomorphisms in the group of segment homeomorphisms
Henry
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