Relatively closed subset of compact set is compact
11114
Is a closed subset of a compact set (which is a subset of a metric space $M$) compact?
150379
Perfect Map $p:\ X\to Y$, $Y$ compact implies $X$ compact
59194
Spaces in which "$A \cap K$ is closed for all compact $K$" implies "$A$ is closed."
135157
Totally bounded, complete $\implies$ compact
113227
Measure spaces are proper subsets
45249
Pseudocompactness does not imply compactness
8015
Compact set plus a closed set is a closed set
63529
How to show that this set is compact in $\ell^2$
149220
If every compact set is closed, then is the space Hausdorff?
69650
In $\mathbb{R}^n$, locally lipschitz on compact set implies lipschitz
146146
Proof that a closed subset of a compact space is a compact space
31559
If $Z\subseteq Y\subseteq X$ and $Z$ is compact in $Y$, then $Z$ is compact in $X$
49374
Closure of a subset in a metric space
95993
Isn't every subset of a compact space compact?
19566
Continuous images of compact sets are compact
125962
The set $A'$ is closed in a $T_1$ space
97761
Show that a proper continuous map from $X$ to locally compact $Y$ is closed