Show that $\mathbb{R}$ cross $\mathbb{R}$ is equinumerous to $\mathbb{R}$
132470
Does $\mathbb R^2$ contain more numbers than $\mathbb R^1$?
118049
Show that $\mathbb{R}^{\mathbb{R}} = U_{e} \oplus U_{o}$
84189
Is $\mathbb{C}$ equal to $\mathbb{R}^2$?
114142
How to show that $\mathbb{R}^3$ is the direct sum of $W_1={\rm span}\{(1,1,1)\}$ and $W_2={\rm span}\{(1,0,0),(1,1,0)\}$?
1026
Ring homomorphism with $\phi(1_R) \neq1_S$
19754
$\mathbb{R}$ \ $\mathbb{Q}$ and $\mathbb{R}^2\setminus\mathbb{Q}^2$ disconnected?
114987
How many connected components does $\mathrm{GL}_n(\mathbb R)$ have?
149973
Showing the following coordinate rings are not isomorphic
27188
Bijection between $\mathbb{R}$ and $\mathbb{R}/\mathbb{Q}$
84114
Does there exist a surjective homomorphism from $(\mathbb R,+)$ to $(\mathbb Q,+)$ ?
28692
Find if set $I$ of all injective functions $\mathbb{N} \rightarrow \mathbb{N}$ is equinumerous to $\mathbb{R}$
93776
Bijective mapping between $\mathbb{R}^2$ and $\mathbb{R}$?
34886
Transvection matrices generate $ \operatorname{SL}_n(\mathbb{R}) $
100845
How to prove that $G(x)=ax+b$ is a one-to-one correspondence where $a\neq0$ and $a,b\in\mathbb{R}$.
1707
How does one prove that addition on $\mathbb{R}$ is associative?
102972
Cardinality of $\mathbb{R}^\mathbb{R}$ by diagonal argument
70576
Elementary proof that $\mathbb{R}^n$ is not homeomorphic to $\mathbb{R}^m$