Is $(a,b)\setminus \mathbb{Q}$ homeomorphic to $\mathbb{R}\setminus \mathbb{Q}$?
1117
Is there a bijection between $(0,1)$ and $\mathbb{R}$ that preserves rationality?
144266
set theory proof of $A\cap B = A \setminus(A\setminus B)$
115606
Proofs involving $ (A\setminus B) \cup (A \cap B)$
27670
Group homomorphisms $\mathbb{Q}\to\mathbb{R}$
26197
$B^n/S^{n-1}$ is homeomorphic to $S^n$
105445
Are the rationals a closed or open set in $\mathbb{R}$?
109610
Is $\mathbb{R}[X]/(P)$ isomorphic to $\mathbb C$ for every irreducible polynomial $P$ of degree $2?$
2348
Show that the sphere, S, and $\mathbb{R}^2$ is not homeomorphic
113915
A star shaped open set in $\mathbb{R}^n$ is diffeomorphic to $\mathbb{R}^n$
90649
Consider $f(x)=mx$ and $g(x) =bx$ in which $m>0$ and $b>0$. Does there exist any homeomorphism $h$ such that $h \circ f$ = $g \circ h$
157597
Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
3296
Proof That $\mathbb{R} \setminus \mathbb{Q}$ Is Not an $F_{\sigma}$ Set
140628
Are $(\Bbb R,+)$ and $(\Bbb Q, +)$ elementary equivalent?
44559
Finding a homeomorphism $\mathbb{R} \times S^1 \to \mathbb{R}^2 \setminus \{(0,0)\}$
95086
Homeomorphism is bijective
38378
$M= \{ A \in Mat_{2 \times 2}{\mathbb{R}}| \det(A)=1 \}$ is homeomorphic to $S^{1} \times \mathbb{R}^{2}$
29452
Divisor in $\mathbb{C}[X]$ $\implies$ divisor in $\mathbb{R}[X]$?