union-of-connected-subsets-is-connected-if-intersection-is-nonempty
23225
Union of connected subsets is connected if intersection is nonempty
156520
Intervals are connected and the only connected sets in $\mathbb{R}$
151719
Connected set in $\mathbb{S}^1$
152193
The intersection of a closure with an open set
44673
$M$ connected $\iff$ $M$ and $\emptyset$ are the only subsets of $M$ open and closed at the same time
153492
Let $p\colon X \to Y$ be a quotient map then if each set $p^{-1}({y})$ is connected, and if $Y$ is connected, then $X$ is connected.
55648
Intersection of finite number of compact sets is compact?
62180
Best way to find the intersection of multiple sets?
10127
Example of a sequence of closed and connected sets whose intersection is disconnected
3392
Sum of products of elements of nonempty subsets of A set
74077
A intersection (A union B)
157753
Show that any set in a metric space can be written as the intersection of open sets
114990
Is the complement of countably many disjoint closed disks path connected?
28641
Suppose $Y\subset X$ and $X,Y$ are connected and $A,B$ form separation for $X-Y$ then, prove that $Y\cup A$ and $Y\cup B$ are connected
115695
If $X$ is a connected subset of a connected space $M$ then the complement of a component of $M \setminus X$ is connected
81928
Covering with most possible equal size subsets having pairwise singleton intersections
96243
limsup of intersection of events as a subset of intersection of limsups