Is the interval $[0,1]$ equinumerous with $\mathbb{R}$
37565
Bijection from finite (closed) segment of real line to whole real line
54791
Is it true or false that $\lvert P([0, 1]) \setminus P((0, 1)) \rvert > \lvert P(\mathbb{N}) \rvert$
108394
Proof of that every interval is connected
61375
Meaning of $\mathbb{R}[x]$
91736
Explicit homeomorphism between open and closed rational intervals?
43283
More numbers between $[0,1]$ or $[1,\infty)$?
143586
Is $[0,1]$ a union of family of disjoint closed intervals?
45606
Is there a bijection from [0,1] to R?
20135
Measure of  reals in $[0,1]$ which don't have $4$ in decimal expansion
21599
$(0,1)$ is an open subset of $\mathbb{R}$ but not of $\mathbb{R}^2$, when we think of $\mathbb{R}$ as the x-axis in $\mathbb{R}^2$. Prove this.
49440
Prove that the interval $ \ [0,2)$ and $ \ [5,6) \cup [7,8)$ have the same cardinality
133206
Is the Cantor set made of interval endpoints?
103744
Minimal $ab$ for Rational Number $a/b$ in an Interval
33014
Bijection between an open and a closed interval
45216
Cardinality of $[0,1]$
22869
Prove $[0, 1]$ and $(0, 1]$ are equinumerous by use of bijection
81264
Is $[0, 1) \times (0, 1)$ homeomorphic to $(0, 1) × (0, 1)$?