$A$ and $B$ are infinite sets, is it true that the cardinality of its Cartesian product ($|A×B|$) is equal to max $(|A|,|B|)$?
127242
$|A\times B|= \text{max}(|A|,|B|)$ for infinite sets
86154
Why is this true? A set is Dedekind infinite if and only if equipotent to the union with the set containing itself
149673
Cardinality of an infinite union of finite sets
157081
The cartesian product of a finite amount of countable sets is countable.
109054
Given an infinite set of cardinality $X$, is there a chain in $\mathcal P(X)$ of the same cardinalty of $\mathcal P(X)$?
25685
What is the product of all nonzero, finite cardinals?
113211
Arithmetics of cardinalities: if $|A|=|C|$ and $|B|=|D|$ then $|A\times B|=|D\times C|$
66301
The cardinality of the set of countably infinite subsets of an infinite set
50880
Expressing $\Bbb N$ as an infinite union of disjoint infinite subsets.
122947
What is the cardinality of the set of infinite cardinalities?
142267
If two sets have the same cardinality, then so do their power sets. Converse can't be answered?
127656
How to prove that if $A$ is infinite and $B$ is finite, then $|A\cup B|=|A|$?
13398
Prove that the interval $(0, 1)$ and the Cartesian product $(0, 1) \times (0, 1)$ have the same cardinality
66398
Union of a finite set and a countably infinite set is countably infinite
136069
Is there a simple formula for the cardinality of $\{A\subseteq\kappa\mid |A|\leq\lambda\}$ when $\lambda\leq\kappa$?
86926
Why isn't this a well ordering of $\{A\subseteq\mathbb N\mid A\text{ is infinite}\}$?
23442
Cardinality of the union of infinite and countable sets