Does there exist any continuous bijection between [0,1] and (0,1) and between [0,1] and IR?
38257
Continuous bijection from $(0,1)$ to $[0,1]$
31244
Is this a correct bijection between $(0,1]$ and $[0,1]$?
61640
Prove c exists for f:[0,1] -> R
52012
Is there exist a homemoorphism between either pair of $(0,1),(0,1],[0,1]$
157268
Proving a bijection with absolute value
118192
Is there a bijective function $f: \mathbb{R}\to\mathbb{R}$ that is discontinuous?
3323
Bijection Contruction
39231
Construct a bijection between $\mathbb{Z}^+\times \mathbb{Z}^+$ and $\mathbb{Z}^+$
15095
continuous onto map from $(0,1)\to (0,1]$
43283
More numbers between $[0,1]$ or $[1,\infty)$?
21663
Bijection between power sets of sets implies bijection between sets?
41359
Constructing a bijection
106884
Is there a continuous bijection between an interval $[0,1]$ and a square: $[0,1] \times [0,1]$?
10850
Are all functions that have an inverse bijective functions?
70266
1-1 correspondence between [0,1] and [0,1)
121366
Intervals and cardinality
23125
Prove that there is a bijection between the set of all subsets of $X$, $P(X)$, and the set of functions from $X$ to $\{0,1\}$.