Is there a bijective map from $\mathbb{R}$ to ${}^{*}\mathbb{R}$?
86914
Cardinality of the set of hyperreal numbers
72642
Continuous bijection from $(a,b) \to S^1$?
48419
Difference between $\mathbb{R}$-linear and $\mathbb{C}$-linear maps
70576
Elementary proof that $\mathbb{R}^n$ is not homeomorphic to $\mathbb{R}^m$
130381
bijection from $(a,b)$ to $\Bbb R$
24914
Does every continuous map from $\mathbb{Q}$ to $\mathbb{Q}$ extends continuously as a map from $\mathbb{R}$ to $\mathbb{R}$?
153355
Given $S \in B(Y^{*}, X^{*})$, does there exist $T\in B(X,Y)$ such that $S=T^{*}$?
1117
Is there a bijection between $(0,1)$ and $\mathbb{R}$ that preserves rationality?
73927
Is $\mathbb{R}$ a subset of $\mathbb{R}^2$?
109643
Prove that every isometry on $\mathbb{R}^2$ is bijective
74330
$\mathbb{R}^n$ not homeomorphic to open subset of $\mathbb{R}^m$
145722
Prove there is a bijection between the set of $R[x]$-module structures on $M$ and $\mathrm{End}_{R-\mathsf{Mod}}(M)$.
100465
Does there exist a continuous bijection from $(-1,1) \to (-1,1]$?
67374
Is it true that $\mathbb{R}$ and $\mathbb{R}^2$ are isomorphic as abelian groups?
27757
$\mathbb{R}\to\mathbb{R}$ Diffeomorphism with special property
57269
A special bijection between $\mathbb{R}\times \mathbb{R}$ and $\mathbb{R}$
31391
bijection between $\mathbb{N}$ and $\mathbb{N}\times\mathbb{N}$