Is there a bijection between $[0, \infty)$ and $(0,1)$
10458
How to define a bijection between $(0,1)$ and $(0,1]$?
105772
Definition of $\mathbb{R}^\infty$
128966
Explicit bijection between $\Bbb R$ and permutations of $\Bbb N$
36315
Is $[0,1]$ a countable disjoint union of closed sets?
97878
Are there uncountably many surjections from $\mathbb N$ to $\mathbb N$?
70266
1-1 correspondence between [0,1] and [0,1)
10850
Are all functions that have an inverse bijective functions?
27188
Bijection between $\mathbb{R}$ and $\mathbb{R}/\mathbb{Q}$
126821
Let $f:[0,1]\to \mathbb{R}$. Show that $\{a \in [0,1]: f(a)\neq 0\} = \bigcup_{n=1}^{\infty} \{a \in [0,1]: |f(a)|\geq 1/n\}$
35569
Prove that $[0,1]$ isn't homeomorphic to $\mathbb{R}$
124847
Is the set of surjective functions from $\mathbb{N}$ to $\mathbb{N}$ uncountable?
3276
Function $f:[0,1] \to [0,1]$ taking on each value in $[0,1]$ exactly twice
24107
Bijection $f:\mathcal{P}(A)\to(A\to \{0,1\})$
98696
Is the exponential map ever not injective?
127365
Question on showing a bijection between $\pi_1(X,x_0)$ and $[S^1, X]$ when X is path connected.
43283
More numbers between $[0,1]$ or $[1,\infty)$?
57269
A special bijection between $\mathbb{R}\times \mathbb{R}$ and $\mathbb{R}$