If a closed set is a subset of a compact set, is the closed set compact?
127173
Closed subset of compact set is compact
18596
A set $A \subset l_1$ is compact if and only if closed, bounded, and one other condition
136108
Arbitrary intersection of closed, connected subsets of a compact space connected?
3896
A closed set in $(A, \mathcal T_A)$ that is not closed in $(X, \mathcal T)$
117561
A set is infinite iff there is a one-to-one correspondent with one of its proper subsets?
100476
Why does a Hausdorff but not countably compact space have an infinite closed discrete subset?
143457
Is product of two closed sets closed?
10531
Is the convex hull of a compact set compact?
858
Is $\{\emptyset\}$ a subset of $\{\{\emptyset\}\}$?
55648
Intersection of finite number of compact sets is compact?
41408
Which of the following sets are compact:
147213
Prove that finite unions of compact sets are compact
70017
Every subspace of a compact space is compact?
86317
Show that $F\subset Y$ is closed in $Y$ iff $F=Y\;\cap\;H$ where $H\subset X$ is closed in $X$.
9268
Proving that the Union of Two Compact Sets is Compact
106534
"Closed subsets of compact space are compact" with an alternative definition of covering
42698
Set of limit points of a subset of a Hausdorff space is closed.