Extension of Arzela-Ascoli Theorem in $\mathbb R\;$
47693
Applying Arzela-Ascoli to show pointwise convergence on $\mathbb{R}$.
139078
Infinite partition of $\mathbb N$ by infinite subsets
90826
Constructing a subset not in $\mathcal{B}(\mathbb{R})$ explicitly
4111
Outer measure is countably subadditive
2575
Showing that $\mathbb{R}$ is connected
124562
$f:\mathbb{R}^n \to \mathbb{R}$ has expansion $\sum_i g_i(x)x^i$
46917
How to prove that $GL(n,\mathbb R)$ is not connected subset and open subset of$M_n (\mathbb{R})$
145039
Algebraic independence over $\overline{\mathbb Q}$ and over $\mathbb Q$
83166
Homeomorphism(topological spaces) version of Cantor–Bernstein–Schroeder theorem
99117
Existence of a sequence of positive continuous functions on $\mathbb R$ which is unbounded precisely on $\mathbb Q$
118049
Show that $\mathbb{R}^{\mathbb{R}} = U_{e} \oplus U_{o}$
55461
How to prove that if $a$ belongs to $\mathbb R$, such that $0\leq a \leq\epsilon$, then $a = 0$
66630
Proof of Mazurkiewicz theorem
132366
Diagonalizability of $A \in M_{n}(\Bbb{R})$ (Upper traingular matrix) with all diagonal entries 1 and $A \neq I$?
141114
Question about a bijection between $\mathbb R$ and $\mathbb R \cup \{\infty\}$
49220
Open Sets of $\mathbb{R}^1$ and axiom of choice
96729
Changing the values of an integrable function $f:[a,b] \to \mathbb R$ countably infinitely many points not a dense subset of $[a,b]$