Does there exist a local diffeomorphism of $\mathbb{R}^2$ onto $\mathbb{S}^2$?
118622
Local diffeomorphism from $\mathbb R^2$ onto $S^2$
142174
Nonexistence of an injective $C^1$ map between $\mathbb R^2$ and $\mathbb R$
157597
Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
111838
Prove that a standard torus is diffeomorphic to $ \mathbb S^1\times \mathbb S^1$
89257
Give an example of a function $f:\mathbb{R}^2 \mapsto \mathbb{R}^2$ such that
98800
Do local flows of left-invariant vector fields satisfy $\Phi_X^t\circ L_x=L_x\circ \Phi_X^t$?
151354
Why are there no non-trivial regular maps $\mathbb{P}^n \to \mathbb{P}^m$ when $n > m$?
30178
Homeomorphism $(\mathbb{CP}^1)^m/S_m \overset{\sim}{\to} \mathbb{CP}^m$?
68786
"This property is local on" : properties of morphisms of $S$-schemes
34260
Injective function from $\mathbb{R}^2$ to $\mathbb{R}$?
93471
Space of homeomorphisms Homeo$(S^1)$ of $S^1$ deformation retracts onto $O(2)$
82458
Homeomorphism between the unit disc and the unit square
88474
$\mathbb{A}^{2}$ not isomorphic to affine space minus the origin
149605
Homeomorphism from $[0,1]\times[0,1]$ to $\overline{D}(0,1)$?
84389
Topologist's Sine Curve not a regular submanifold of $\mathbb{R^2}$?
18334
Equivalence between CH and existence of certain sets in $\mathbb{R}^2$
151285
Existence of a local geodesic frame