Show that $(0,1]$ ~ $(0,1)$ by constructing a one-to-one correspondence between the two sets.
10458
How to define a bijection between $(0,1)$ and $(0,1]$?
142631
Show that A has the same cardinality as $A\setminus\{x,y,z\}$
59424
Showing that $B=\{(x,y) \in \Bbb{R^2} \mid \ xy>0 \}$ is an open set
64320
Prove that if $0<a<Pr(A)$ then there exists $B\subset A$ such that $Pr(B)=a$
117257
Proving the supremum of the set {$\cos (1/x)$} is 1
19289
complement of a set and its measure
106585
Show $d_{1}(x_{n},x)\rightarrow{0}$ if and only if $d_{2}(x_{n},x)\rightarrow{0}$.
101671
Describe the image of the set $\{z=x+iy:x>0,y>0\}$ under the mapping $w=\frac{z-i}{z+i}$
154837
mapping properties of $(1−z)^i$
151544
Prove that if $B$ is the set of rationals in $[0,1]$ with a finite subcover, then: $1 \leq \sum_{k=1}^n m^*(I_k)$
112231
Showing that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set
153107
Does every connected component of $\{z : |P(z)|<1 \}$ contain a zero?
31244
Is this a correct bijection between $(0,1]$ and $[0,1]$?
60485
Show that $S^1 - \lbrace (1,0)\rbrace$ is homeomorphic to the open interval $(0,1)$
35569
Prove that $[0,1]$ isn't homeomorphic to $\mathbb{R}$
146306
A continuous surjective function from $(0,1]$ onto $[0,1]$
79531
Distance between sets with one closed set and one compact set