Construct an explicit bijection $f:[0,1] \to (0,1]$, where $[0,1]$ is the closed interval in $\mathbb R$ and $(0,1]$ is half open.
10458
How to define a bijection between $(0,1)$ and $(0,1]$?
43535
show that the interval of the form $[0,a)$ or $(a, 1]$ is open set in metric subspace $[0,1]$ but not open in $\mathbb R^1$
146306
A continuous surjective function from $(0,1]$ onto $[0,1]$
126821
Let $f:[0,1]\to \mathbb{R}$. Show that $\{a \in [0,1]: f(a)\neq 0\} = \bigcup_{n=1}^{\infty} \{a \in [0,1]: |f(a)|\geq 1/n\}$
118192
Is there a bijective function $f: \mathbb{R}\to\mathbb{R}$ that is discontinuous?
109710
Bijection between $\mathbb N \times \mathbb N$ and $\mathbb N$
22869
Prove $[0, 1]$ and $(0, 1]$ are equinumerous by use of bijection
12402
Showing a function on $[0,1]$ is the zero function
31391
bijection between $\mathbb{N}$ and $\mathbb{N}\times\mathbb{N}$
56233
Is the set of all strings with countably infinite length bijective to $[0,1]$?
15095
continuous onto map from $(0,1)\to (0,1]$
143586
Is $[0,1]$ a union of family of disjoint closed intervals?
111990
Continuous function from $(0, 1]$ onto $(0, 1)$?
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 $X=\{0,1\}$
37565
Bijection from finite (closed) segment of real line to whole real line
53168
Surjective, Injective, Bijective Functions from $\mathbb Z$ to itself
100465
Does there exist a continuous bijection from $(-1,1) \to (-1,1]$?