The intersection of $k$ subtrees of a tree $T$ is nonempty.
23008
For all $1 \leq i < j \leq k$, the subtrees $T_i$ and $T_j$ have a vertex in common. Show that $T$ has a vertex which is in all of the $T_i$.
152193
The intersection of a closure with an open set
44623
Closed set as a countable intersection of open sets
94928
Every $k$ vertices in an $k$ - connected graph are contained in a cycle.
26919
Intersection of Connected Sets
128844
An empty intersection of decreasing sequence of closed sets
148175
Girth and monochromatic copy of trees
148376
Proving that a Binary Tree of $n$ nodes has a height of at least $\log(n)$.
50966
In a topological space, why the intersection only has to be finite?
118674
Simple upper bound for $\binom{n}{k}$
113922
Proof that the intersection of any finite number of convex sets is a convex set
73345
maximum size of a $k$-intersecting family of $[n]$
74796
Extension of intersection of ideals
13132
If the union of two sets is contained in the intersection, then one is contained in the other ($[A\cup B\subseteq A\cap B]\implies A \subseteq B$)
147253
Prove for any $K \leq G$, either $K \leq N$ or $KN=G$ and $[K:K \cap N]=p$ where N is normal in G and $[G:N]=p$
96243
limsup of intersection of events as a subset of intersection of limsups
48906
Prove that T is diagonalizable if and only if the minimal polynomial of T has no repeated roots.