"Prove that Cl(ℚ) = ℝ in the standard topology on ℝ."
121831
Proving that rational numbers are dense
125723
Proof of $Y=F_X(X)$ being uniformly distributed on $[0,1]$ for arbitrary continuous $F_X$
83665
Prove a assertion concerning Lebesgue space
2575
Showing that $\mathbb{R}$ is connected
56143
Proof of a basic $AC_\omega$ equivalence
135059
Prove that the unit circle, $S^1:=\{(x,y)\in \mathbb{R}^2: x^2+y^2=1\}$, Is a one-dimensional manifold
94469
How to prove that $|HK| = \dfrac{|H| \; |K|}{|H \cap K|}$?
118049
Show that $\mathbb{R}^{\mathbb{R}} = U_{e} \oplus U_{o}$
128256
How to prove $H_1(\mathbb{C}/\Lambda, \mathbb{Z})$ to the lattice $\Lambda$ ,$\gamma \mapsto \int_\gamma dz$ is well defined?
76148
Show that $\exists c \in \mathbb{R} : f(c) = 0$
117478
Prove that $\mathbb{R}$ and the interval $(0, \infty)$ have the same cardinality.
80996
A canonical construction proving $\left|HK\right| = \left|H\right|\left|K\right| / \left|H \cap K\right|$?
138825
The strong topology on $U(\mathcal H)$ is metrisable
127818
How do I prove that a graph is a topological manifold
8456
Prove that $SL(2,\mathbb{R})$ acts transitively on the upper half plane
26183
Prob. 9, Sec. 4.3 in Kreyszig's Functional Analysis Book: Proof of the Hahn Banach Theorem without Zorn's Lemma
83166
Homeomorphism(topological spaces) version of Cantor–Bernstein–Schroeder theorem