Is it true $\emptyset \times A = \emptyset$?
71653
Why is the Cartesian product of a set $A$ and empty set an empty set?
8082
What is A Set Raised to the 0 Power? (In Relation to the Definition of a Nullary Operation)
132692
Nonempty set mapped to $\emptyset$ and vice-versa
43462
Disprove $\mathcal{P}(A\Delta B) \setminus \{\emptyset\} = \mathcal{P}(A) \Delta\mathcal{P}(B) $. Is my proof good?
3148
True or false: {{∅}} ⊂ {∅,{∅}}
68244
Is ∅ equivalent to {∅}?
56637
In naive set theory ∅ = {∅} = {{∅}}?
127242
$|A\times B|= \text{max}(|A|,|B|)$ for infinite sets
63717
Is the closure of a set equal to the closure of the closure of that set?
152354
Why is an empty set not a terminal object in categories $\mathsf{Top}$ and $\mathsf{Sets}$?
57981
Alternative proof of $a\times0= 0$
99480
Why is predicate "all" as in all(SET) true if the SET is empty?
107215
Is $\emptyset \in \emptyset$ or $\emptyset \subseteq \emptyset$?
63267
Under what conditions on the sets $A$ and $B$ will it be true that $A\times B= B\times A$
35631
$H_0(X,A) = 0 \iff A \cap X_i \neq \emptyset \forall $ path-components $X_i$
110669
Linear span of the empty set
77902
If $A,B,$ and $C$ are sets, then $A\times(B-C)$ = $(A \times B)$ $-$ $(A \times C)$.