Compact nested subsets
110485
Nested sequence of non-empty compact subsets - intersection differs from empty set
90826
Constructing a subset not in $\mathcal{B}(\mathbb{R})$ explicitly
95234
Quasi-components in compact space
158018
Everywhere Super Dense Subset of $\mathbb{R}$
158882
Prove the existence of some weird family of sets
107614
Partitioning an infinite set
23225
Union of connected subsets is connected if intersection is nonempty
55659
Sum of closed and compact set in a TVS
33117
Cyclic containment of sets
107772
Separability of functions with compact support
117658
A set with n elements has 2^n subsets
84394
Choice function for a collection of nonempty subsets of $\{0,1\}^\omega$
39076
Contraction of compact sets
102048
Closure of a compact set in Regular space $ X $
122271
A subset of a transitive set is transitive
127173
Closed subset of compact set is compact
97841
General property regarding outer measure for a nested sequence of sets (measurable or not).