Example of a sequence of closed and connected sets whose intersection is disconnected
109462
Looking for a counter example for non-connected intersection of descending chain of closed connected sets
131890
Totally disconnected space that is not $T_2$
21570
Intersection of a family of non-empty closed intervals
139988
Counter example for a result of intersection of subspaces
27998
Prove existence of disjoint open sets containing disjoint closed sets in a topology induced by a metric.
99341
Basic question: closure of irreducible sets
100437
Classification of connected subsets of the real line (up to homeomorphism)
55486
Topological proof to show a complement set of a set is polygonally 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
88595
Prob. 21, Sec. 17 in Munkres' TOPOLOGY, 2nd ed: Closure and complementation can result in at most 14 different sets
49374
Closure of a subset in a metric space
151923
$F$ closed and connected then...
157753
Show that any set in a metric space can be written as the intersection of open sets
158155
Is set of isolated points of S closed?
123090
How to show that disjoint closed sets have disjoint open supersets?
5323
Example to show the distance between two closed sets can be 0 even if the two sets are disjoint
77621
Continuity of function mapping connected set to connected set