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/sci/ - Science & Math

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1930285 No.1930285 [Reply] [Original]

Why does no one ever try to troll mathematicians?

Fundamental group of a circle is trivial.

Break the circle into the interval [0,2pi), which is obviously contractible. Therefore, the fundamental group of a circle has generators the zero cycle {0}, and is therefore trivial.

Pic related, it has fundamental group Z.