Prove that there is no increasing function $f: \aleph_1 \to \mathbb{R}$
134720
Show that there is no increasing function $f: \aleph_1 \to \mathbb{R}$
98731
Show that there is no epimorphism from ($\mathbb{Q}$, +) to ($\mathbb{Z}$, +)
149095
$f(\mathbb{R}\setminus \mathbb{Q}) \subseteq \mathbb{Q}$ and $f(\mathbb{Q}) \subseteq \mathbb{R}\setminus \mathbb{Q}$ imply that $f$ is not continuous
41201
How prove there is no continuous functions $f:[0,1]\to \mathbb R$, such that $f(x)+f(x^2)=x$.
124562
$f:\mathbb{R}^n \to \mathbb{R}$ has expansion $\sum_i g_i(x)x^i$
52129
covariance of increasing functions
82371
$f$ is an entire function with Im $f\geq 0$
87027
There is no continuous injective function $f:\mathbb{R}^n\longrightarrow\mathbb{R}^m$
3296
Proof That $\mathbb{R} \setminus \mathbb{Q}$ Is Not an $F_{\sigma}$ Set
149390
Fixed point of a Function (monotonically increasing)
35569
Prove that $[0,1]$ isn't homeomorphic to $\mathbb{R}$
142870
Prove the function is not differentiable at (0,0)
26126
$f \in L^1$, but $f \not\in L^p$ for all $p > 1$
150346
If $f$ is an increasing function defined on $[a,b]$ . Then, $f$ has countable number of discontinuities
128524
Proving there is no analytic function
113503
Show that exists a not decreasing function that $f:(a,b)\rightarrow \mathbb{R}$ that is continuous only in $(a,b)\setminus D$.
148512
No analytic function $f$ has modulus $|f(z)|=1/\cosh(\Re z)$