There is no continuous bijection between $[0,1]$ and $[0,1] \times [0,1]$
106884
Is there a continuous bijection between an interval $[0,1]$ and a square: $[0,1] \times [0,1]$?
44559
Finding a homeomorphism $\mathbb{R} \times S^1 \to \mathbb{R}^2 \setminus \{(0,0)\}$
50649
On the existence of a continuous bijection $f\colon [0,1]\to [0,1]\times [0,1]$
41359
Constructing a bijection
80202
Why is $[0, 1] \cap \mathbb{Q}$ not compact in $\mathbb{Q}$?
57981
Alternative proof of $a\times0= 0$
90566
There exists surjections from A onto B and vice versa, and there is no bijection between the sets?
234
No continuous function switches $\mathbb{Q}$ and the irrationals
93606
Showing that $C[0,1]$ is not complete
125008
Define a bijection between $Z^{X \cup Y}$ and $Z^X \times Z^Y$, where $X, Y \in \mathcal{P}(\Omega) $ and $X \cap Y = \emptyset$
109710
Bijection between $\mathbb N \times \mathbb N$ and $\mathbb N$
23464
How to find a explicit bijection for some $f:A\times B \rightarrow B \times A$
111477
Specify a bijection from [0,1] to (0,1].
27188
Bijection between $\mathbb{R}$ and $\mathbb{R}/\mathbb{Q}$
36315
Is $[0,1]$ a countable disjoint union of closed sets?
143586
Is $[0,1]$ a union of family of disjoint closed intervals?
32127
Example where $f\circ g$ is bijective, but neither $f$ nor $g$ is bijective