The Cartesian product of an infinite number of sets each containing at least two elements is either empty or infinite?
5313
Existence of how many sets is asserted by the axiom of choice in this case?
108807
Subset of a cartesian product
19414
Uncountable subset with uncountable complement, without the Axiom of Choice
23442
Cardinality of the union of infinite and countable sets
125161
Why is the Cartesian product of $A$ and $\varnothing$ empty?
65768
What is the cardinality of the set of the empty set?
29303
Cartesian product of compact sets is compact
27937
Cartesian Product of Two Countable Sets is Countable
77548
Given an arbitrary infinite set $S$, how to construct an injection $\mathbb{N} \to S$ with the Axiom of Choice?
26008
Why there is a unique empty set?
70940
Homework - set theory infinite union
14711
set theoretic function, products of sets (product versus Cartesian product)
136755
Direct proof of empty set being subset of every set
42603
How can I prove that the cadinality of a set minus a finite number of elements of it is still the same as the original set?
111032
Proof of Sets involving the Cartesian Product
24372
Infinite Set is Disjoint Union of Two Infinite Sets
110464
Let $A=\{1,...,n\}.$ Show that there is a bijection of $P(A)$ with the cartesian product $X^n$ where $X$ is the two element set $X=\{0,1\}$