Is the cardinality of $\mathcal{C}[0,1]$ the same as the cardinality of $\mathbb{R}$?
12003
Cardinality of set of real continuous functions
136106
Is every open subset of $ \mathbb{R} $ uncountable?
58636
Do the real numbers and the complex numbers have the same cardinality?
150064
Cardinality of "$x-y\in\Bbb Q$"-equivalence class of $1/\sqrt2$
40071
What is the cardinality of the set of all topologies on $\mathbb{R}$?
93330
Cardinality of all cardinalities
38764
bound on the cardinality of the continuum? I hope not
41783
Cardinality of the Cartesian Product of Two Equinumerous Infinite Sets
89167
Cardinality of equivalence relations in $\mathbb{N}$
142631
Show that A has the same cardinality as $A\setminus\{x,y,z\}$
22232
Proving that cardinality of the reals = cardinality of $[0,1]$
132013
How do I show that if $f : [0,1] \to [0,1]$ is continuous, then there is some $c$ such that $f(c) = c$?
73927
Is $\mathbb{R}$ a subset of $\mathbb{R}^2$?
85099
How many subsets of $\mathbb{N}$ have the same cardinality as $\mathbb{N}$?
73850
Cardinality of set of functions
59459
Binary sequences and ${2}^{\mathbb{N}}$ have the same cardinality
146436
Cardinality of the set of bijective functions on $\mathbb{N}$?