Map from 2-sphere into $(\mathbb R^3, |\cdot|)$
121708
$S := \{x \in \Bbb R^3: ||x||_2 = 1 \}$ and $T: S^2 \to \Bbb R$ is a continuous function. Is $T$ injective?
96354
Linear independence of $\sin(x)$, $\sin(2x)$, $\sin(3x)$ in Map($\mathbb{R},\mathbb{R}$)
50130
$\operatorname{Aut}(V)$ is isomorphic to $S_3$
79285
Does there exist a continuous surjection from $\Bbb R^3-S^2$ to $\Bbb R^2-\{(0,0)\}$?
109596
Isomorphism from $\mathrm{Aut}(\mathbb{Z}/2\mathbb{Z}\times \mathbb{Z}/2\mathbb{Z})$ to $S_3$
2235
Showing $\text{Aut}_\mathsf{Grp}(\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}) \cong S_3$
26110
Canonical isomorphism between $\mathfrak{so}(3)$ and $\mathbb R^3$ with vector cross product
136287
Separate real and imaginary part of $\arccos(z)$
151735
$\mathbb{R}^3 \setminus A$ deformation retracts onto $S^1 \vee S^2$
96567
Immersion of $\mathbb{R}$ to $\mathbb{R}^2$
118622
Local diffeomorphism from $\mathbb R^2$ onto $S^2$
64140
Find a bijection from $\mathbb R$ to $\mathbb R-\mathbb N$
27265
Continuously differentiable map from $\mathbb{R}^{m+n}$ to $\mathbb{R}^n$
154847
homomorphism from $S_3$ to $\mathbb Z/3\mathbb Z$
84189
Is $\mathbb{C}$ equal to $\mathbb{R}^2$?
78191
Define $\|\cdot\| \colon V \rightarrow \mathbb{R} $ by $\|a\| =\sum 2^n |a_n| $, then choose the correct option
83874
Prove that Hopf maps on $S^3, S^2$ and $\mathbb{C} \mathbb{P}^1$ are smooth submersions