Suppose we’ve got two annuli. The one option to have conformal map between them is to have similar radius ratio.
Now lets take two annuli A(1,2) and A(1,8). I wish to show it utilizing contradiction. So suppose i apply iteratively reflection precept. And ultimately will get to 0. Since its bounded its a detachable singularity.
Now how i conclude contradiction from right here? What situation is just not happy that stops this conformal map?
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