It is a fact that if you take a Kan complex $X$, its homotopy group is isomorphic to the homotopy group of $\left|X \right|$, the geometric realization of $X$ as topological space.
I'm looking for proof of this fact. Thank you!
2026-03-29 22:29:56.1774823396
Homotopy group of geometric realization is isomorphic to the original homotopy group.
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