Does there exist an automorphism of $\mathbb{C}$ that does not keep $\mathbb{R}$ fixed?
3606
Wild automorphisms of the complex numbers
90010
Can we ascertain that there exists an epimorphism $G\rightarrow H$?
85586
Proving $\mathbb{Q}$ isn't homeomorphic to $\mathbb{Z}$
76048
Why does $PSL(2,\mathbb C)\cong PGL(2,\mathbb C)$ but $PSL(2,\mathbb R) \not\cong PGL(2,\mathbb R)$?
110944
Proving that $AB-BA=cI$ for nontrivial $c \in \mathbb{C}$
86015
$\mathbb Q[x]/(x^2+1)$ is not isomorphic to $\mathbb Q[x]/(x^2+2)$
111168
Automorphisms of a finite non-abelian group
132386
Show that $(\mathbb{Q}^*,\cdot)$ and $(\mathbb{R}^*,\cdot)$ aren't cyclic
27757
$\mathbb{R}\to\mathbb{R}$ Diffeomorphism with special property
18334
Equivalence between CH and existence of certain sets in $\mathbb{R}^2$
74330
$\mathbb{R}^n$ not homeomorphic to open subset of $\mathbb{R}^m$
146028
$GL(n, \mathbb{C})$ is isomorphic to a subgroup of $GL(2n, \mathbb{R})$
144246
Subset of $\mathbb{R}^n$ homeomorphic to $\mathbb{R}^n$
59995
Isomorphism between $\mathbb{C}^* $ under multiplication with $\mathbb{C}$ under addition.
84869
Are the groups $\mathbb{C}$ and $\mathbb{R}$ isomorphic?
30597
Morphism that is not a mapping
150605
Existence of a regular uncountable $\aleph_{\alpha}$ without $\mathsf{AC}$