Showing that complement of $\mathbb{Q}^2$ in $\mathbb{R}^2$ is connected
55486
Topological proof to show a complement set of a set is polygonally connected
88051
$\mathbb R = X^2$ as a Cartesian product
25854
$\mathbb{R}^3$ \ $\mathbb{Q}^3$ is union of disjoint lines. The lines are not in an axis diretion.
57037
How does $(a,b)$ where $a,b\in \mathbb{Q}$ form a basis for $\mathbb{R}$?
50172
Show that $\mathbb{Q}(\sqrt{2})$ is the smallest subfield of $\mathbb{C}$ that contains $\sqrt{2}$
55493
Showing that the path-connected component of the identity matrix in a subgroup of $GL_n(\Bbb R)$ is a normal subgroup
114987
How many connected components does $\mathrm{GL}_n(\mathbb R)$ have?
115583
prove that $a^2(p-q)(p-r)+b^2(q-p)(q-r)+c^2(r-p)(r-q)\ge 0$
72144
Show that $\mathbb Q(\sqrt p) \not\simeq\mathbb Q(\sqrt q)$
18334
Equivalence between CH and existence of certain sets in $\mathbb{R}^2$
44685
Inner product on $C(\mathbb R)$
73927
Is $\mathbb{R}$ a subset of $\mathbb{R}^2$?
101712
Let $X$ be obtained by removing finitely many lines from $\mathbb{R}^3$. How do I prove $X$ is connected?
47056
Show that the boundary of a set equals the boundary of its complement
116866
$A\times B$ connected component implies $A,B$ connect components
41035
Mapping that proves $\mathbb{Z} \subset \mathbb{Q}$
93776
Bijective mapping between $\mathbb{R}^2$ and $\mathbb{R}$?