Why can't a closed interval on R be written as the disjoint union of countably infinite many closed intervals?
36315
Is $[0,1]$ a countable disjoint union of closed sets?
93263
Can contractible subspace be ignored/collapsed when computing $\pi_n$ or $H_n$?
121366
Intervals and cardinality
91736
Explicit homeomorphism between open and closed rational intervals?
114990
Is the complement of countably many disjoint closed disks path connected?
125233
Why is an open interval not a compact set?
124100
Write the closed interval $[a,b]$ as the union of semi-intervals.
6491
Not every open set in $\mathbb{R}^n$, for $n\geq2$, is a disjoint union of countable open balls.
82628
Cardinality of a set of closed intervals
24685
Expressing a Countable Union of Sets as the Countable Union of Disjoint Sets (e.g. Eliminating Duplicate Intersections)
128844
An empty intersection of decreasing sequence of closed sets
99464
Proof Concerning Indexed family of Sets and Intervals
44623
Closed set as a countable intersection of open sets
55661
Existence of two disjoint closed sets with zero infimal distance
109229
An Example of a Nested Decreasing Sequence of Bounded Closed Sets with Empty Intersection
38581
Construct a Borel set on R such that it intersect every open interval with non-zero non-"full" measure
138202
Every open set in $\mathbb{R}$ is a countable union of closed sets