Show if $Q ∩[0,1]$ is compact?
36631
Is $[0,1] \cap \Bbb Q$ a compact subset of $\Bbb Q$?
61640
Prove c exists for f:[0,1] -> R
67259
Can we prove that a bounded closed subset of $\mathbb R^n$ is compact without Axiom of Choice?
101486
Understanding that $A = \{x\in \ell_2: |x_n| \leq \frac{1}{n}, n = 1,2,...\}$ is compact in $l_2$.
39293
Given a compact set $K$ and closed set $E,$ prove: $E\cap K\neq \emptyset $
6119
If both $P$ and $Q$ are true , how can I tell that $P$ implies $Q$?
55648
Intersection of finite number of compact sets is compact?
142901
"The closure of the unit ball of $C^1[0, 1]$ in $C[0, 1]$" and its compactness
80202
Why is $[0, 1] \cap \mathbb{Q}$ not compact in $\mathbb{Q}$?
110485
Nested sequence of non-empty compact subsets - intersection differs from empty set
20467
Show that $(y_n)\in l^q$
79531
Distance between sets with one closed set and one compact set
17461
Show that a set is dense in $[-1,1]$
117781
Proving that $S=\{\frac{1}{n}:n\in\mathbb{Z}\}\cup\{0\}$ is compact using the open cover definition
18596
A set $A \subset l_1$ is compact if and only if closed, bounded, and one other condition
39076
Contraction of compact sets
148994
$K \subset \mathbb{R}^n$ is compact iff it is closed and bounded