Is there a continuous bijection between an interval $[0,1]$ and a square: $[0,1] \times [0,1]$?
124374
A bijective function between a square and its side
125702
There is a square $Q$ consisting of $(0,0), (2,0), (0,2), (2,2)$
45606
Is there a bijection from [0,1] to R?
72115
Why isn't there a continuously differentiable surjection from $I \to I \times I$?
38257
Continuous bijection from $(0,1)$ to $[0,1]$
133699
Proving that there is a bijection between $A$ and $B$.
27188
Bijection between $\mathbb{R}$ and $\mathbb{R}/\mathbb{Q}$
72642
Continuous bijection from $(a,b) \to S^1$?
33014
Bijection between an open and a closed interval
41359
Constructing a bijection
32340
Continuous bijections and their inverses
7036
Is there a bijective continuous function $f: \Bbb R \to \Bbb R$ whose inverse $f^{-1}$ is not continuous?
110464
Let $A=\{1,...,n\}.$ Show that there is a bijection of $P(A)$ with the cartesian product $X^n$ where $X$ is the two element set $X=\{0,1\}$
67644
How does one get the formula for this bijection from $\mathbb{N}\times\mathbb{N}$ onto $\mathbb{N}$?
47639
Uncountable Cartesian product of closed interval
110885
Does there exists a continuous surjection from $\mathbb{R}$ to $\mathbb{R}^2$?
13398
Prove that the interval $(0, 1)$ and the Cartesian product $(0, 1) \times (0, 1)$ have the same cardinality