Is closure of a compact set itself?
110744
How to prove that a compact set in a Hausdorff topological space is closed?
116542
Which of the following sets are compact in $\mathbb{M}_n(\mathbb{R})$[NBHM_PhD Screening Test-2013, Topology]
73154
Compact subset in colimit of spaces
36281
A set is infinite iff it is equivalent to a proper subset of itself
79697
If $A$ is a subset of $B$, then the closure of $A$ is contained in the closure of $B$.
39293
Given a compact set $K$ and closed set $E,$ prove: $E\cap K\neq \emptyset $
148994
$K \subset \mathbb{R}^n$ is compact iff it is closed and bounded
37654
Topology: Example of a compact set but its closure not compact
12490
A map is continuous if and only if for every set, the image of closure is contained in the closure of image
43376
If $A$ is compact and $B$ is closed, show $d(A,B)$ is achieved
25171
Why does a convex set have the same interior points as its closure?
95993
Isn't every subset of a compact space compact?
18596
A set $A \subset l_1$ is compact if and only if closed, bounded, and one other condition
111538
If $S \subseteq X$ is closed, is $f(S,r)$ necessarily closed?
34344
Is a function that maps every compact set to a compact set continuous?
64694
$C_{c}(X)$ is complete. then implies that $X$ is compact.
141642
Closure of a certain subset in a compact topological group