The intersection of an empty family of sets
84609
Unary intersection of the empty set
44623
Closed set as a countable intersection of open sets
35631
$H_0(X,A) = 0 \iff A \cap X_i \neq \emptyset \forall $ path-components $X_i$
36881
Empty intersection and empty union
858
Is $\{\emptyset\}$ a subset of $\{\{\emptyset\}\}$?
30572
Intersection of nested closed bounded convex sets in Euclidean space
103314
Let $\{K_n \}_{n \in \mathbb{N}}$ be a collection of sets, where $K_n = [n, \infty)$. Why is $\bigcap_{n \in \mathbb{N}} K_{n}$ empty?
113922
Proof that the intersection of any finite number of convex sets is a convex set
118824
What is the complement of empty set?
23225
Union of connected subsets is connected if intersection is nonempty
152465
Find the intersection of all $T_2$ topologies on an infinite set $X$
107641
Show that an infinite set of families are linearly independent
61930
Intersection of Closed and Compact Set is Closed
99464
Proof Concerning Indexed family of Sets and Intervals
130156
Image of the union and intersection of sets.
109229
An Example of a Nested Decreasing Sequence of Bounded Closed Sets with Empty Intersection
1307
Infimum and supremum of the empty set