for every loop on compact orientable surface exists freely homotopic loop with finitely many points of intersection.
I see that it have to be true, but I can't prove it. I know Thom's theorem, Sard's theorem. Could anybody help me?
for every loop on compact orientable surface exists freely homotopic loop with finitely many points of intersection.
I see that it have to be true, but I can't prove it. I know Thom's theorem, Sard's theorem. Could anybody help me?
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