Definition:Fundamental Group

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Definition

Let $(X, x_0)$ be a pointed topological space with base point $x_0$.


The fundamental group $\pi_1 \left({X, x_0}\right)$ of $X$ at the base point $x_0$ is the set of homotopy classes of loops with base point $x_0$ with multiplication of homotopy classes of paths.


Also see


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