Hello, I came up, and proved, a little theorem. My question is, that do you know this theorem from any other context, or if it has other similar forms (or if it is incorrect).(adsbygoogle = window.adsbygoogle || []).push({});

Suppose we have two metric groups A and B, and we know that A is simply connected. If we have a group homomorfism [tex]H:A\to B[/tex], then with certain assumptions (I won't list all the assumtions because they are not imporant for the idea), the homotopy group of the B is precisly the kernel of H.

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# One theorem

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