Example of a continuous bijection on $\mathbb R^n$ whose inverse is not continuous
7036
Is there a bijective continuous function $f: \Bbb R \to \Bbb R$ whose inverse $f^{-1}$ is not continuous?
87027
There is no continuous injective function $f:\mathbb{R}^n\longrightarrow\mathbb{R}^m$
19996
Example where union of increasing sigma algebras is not a sigma algebra
151575
Differentiable bijection $f:\mathbb{R} \to \mathbb{R}$ with nonzero derivative whose inverse is not differentiable
117793
Finding a function $\mathbb{N} \to \mathbb{N}$ that is surjective but not injective.
145077
A continuous bijection $f:\mathbb{R}\to \mathbb{R}$ is an homeomorphism?
15095
continuous onto map from $(0,1)\to (0,1]$
32359
Inner product of two continuous maps is continuous
100436
Examples of nowhere continuous functions
134575
Show that the mapping $f → f~'$ from $C^1([0 , 1])$ to $C([0 , 1])$ is not continuous.
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
109710
Bijection between $\mathbb N \times \mathbb N$ and $\mathbb N$
20377
Example 4.21 in Baby Rudin: Why is the inverse of this function not continuous at this point?
82675
What is an example of function $f: \Bbb{N} \to \Bbb{Z}$ that is a bijection?
141114
Question about a bijection between $\mathbb R$ and $\mathbb R \cup \{\infty\}$
151354
Why are there no non-trivial regular maps $\mathbb{P}^n \to \mathbb{P}^m$ when $n > m$?
151752
Example of a linear operator on some vector space with more than one right inverse.