Find a diffeomorphism $F:\mathbb{R}^n \rightarrow \mathbb{R}^n$ such that $F(x)=y$
27757
$\mathbb{R}\to\mathbb{R}$ Diffeomorphism with special property
145077
A continuous bijection $f:\mathbb{R}\to \mathbb{R}$ is an homeomorphism?
83446
bijective continuous function on $\mathbb R^n$ not homeomorphism?
157597
Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
39090
Finding functions such that $f(g(x)) = f(x)g(x)$
26687
Show that $f$ maps the unit circle to itself
41617
If a $C^1$ map $f:\mathbb{R}^{n}\rightarrow\mathbb{R}^{n}$ is expanding ($\|f(x)-f(y)\|\geq\|x-y\|$), which of these must be true?
15909
Bijection from $\mathbb R$ to $\mathbb {R^N}$
27265
Continuously differentiable map from $\mathbb{R}^{m+n}$ to $\mathbb{R}^n$
89257
Give an example of a function $f:\mathbb{R}^2 \mapsto \mathbb{R}^2$ such that
143269
Existence of area-preserving diffeomorphism between two sets in $\mathbb{R}^2$
119348
Find sequence of differentiable functions $f_n$ on $\mathbb{R}$ that converge uniformly, but $f'_n$ converges only pointwise
44670
Find all functions $f: \mathbb Z \to \mathbb Z$ such that $f(x+y)=f(x)+f(y)$
98436
Finite order endomorphisms
54321
Questions about $f: \mathbb{R} \rightarrow \mathbb{R}$ with bounded derivative
62950
Use implicit function theorem to show $O(n)$ is a manifold
121886
Proving image of $f:D^n\rightarrow \mathbb{R}^n \;$ contains $\;D^n$