Thanks in advance for your time and all the wonderful previous answers I've received lurking on this site - its been great!(adsbygoogle = window.adsbygoogle || []).push({});

Anyway I have two functions G:[0,2pi] --> Complex Plane and

H:[0,4pi] --> Complex Plane

Both functions are equal to exp(it). (The complex exponential function w/ argument it).

I am told that these functions are not homotopic over the region C - {0} and asked for a proof.

Another hint is to use Cauchy's Theorem which says that if two curves are homotopic their integrals are equivalent.

Any suggestions?

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# Complex Analysis/Topology Proof Help

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