📘 algebraic topology
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Deck Transformation 695Ca2
1. **Problem Statement:** Given two points $x_1, x_2 \in X$ such that $p(x_1) = p(x_2)$, prove that
$$p_*\pi_1(X,x_1) = p_*\pi_1(X,x_2)$$
Simply Connected Rn 345Ff6
1. **Problem Statement:** Prove that $\mathbb{R}^n \setminus \{0\}$ is simply connected for $n \geq 3$. This means every loop in $\mathbb{R}^n \setminus \{0\}$ can be continuously