Strictly increasing function from $\alpha< \aleph_1$ to $\mathbb{R}$
36325
Embedding ordinals in $\mathbb{Q}$
103625
Number of increasing functions from $\{1,2,\dots, n\}$ to itself.
33050
proof that translation of a function converges to function in $L^1$
47323
Show that $\left(1+\frac xk\right)^k$ is monotonically increasing
71967
cardinality of the set of $ \varphi: \mathbb N \to \mathbb N$ such that $\varphi$ is an increasing sequence
41505
Transcendental Extensions. $F(\alpha)$ isomorphic to $F(x)$
120406
$f$ strictly increasing does not imply $f'>0$
90892
Is a function increasing if the derivative is positive except at one point of an interval?
112211
Show an increasing function f from omega_1 to R is eventually constant
1117
Is there a bijection between $(0,1)$ and $\mathbb{R}$ that preserves rationality?
56818
Prove that if $A$ is positive, then $\exists\;\alpha>0$ such that $\langle Ax, x \rangle\geq \alpha|x|^2$ for $x\in\Bbb{R}^n$
65033
Prove inverse of strictly monotone increasing function is continuous over the range of original function
25583
Show that the sequence $a_0 = 1$, $a_{n+1 }= \sqrt{2+a_n}$ is monotonically increasing
24107
Bijection $f:\mathcal{P}(A)\to(A\to \{0,1\})$
29403
Finding functions $f: \Bbb R_*^+ \to \Bbb R_*^+$ with certain properties
39082
Proving $x^\alpha-\alpha x \le 1- \alpha $
77323
Existence of continuous angle function $\theta:S^1\to\mathbb{R}$