Any subset $X$ of $\mathbb{R}^n$ satisfying property C is compact.
32630
Proving that a set in which any sequence having exactly one accumulation point converges is compact
7081
isometry $f:X\to X$ is onto if $X$ is compact
65976
in a topological space only finite subsets are compact sets
116542
Which of the following sets are compact in $\mathbb{M}_n(\mathbb{R})$[NBHM_PhD Screening Test-2013, Topology]
36631
Is $[0,1] \cap \Bbb Q$ a compact subset of $\Bbb Q$?
136108
Arbitrary intersection of closed, connected subsets of a compact space connected?
59275
If $X$ is an infinite set, then $X$ with the discrete topology is not compact
144400
Are compact subsets of metric spaces closed and bounded?
141642
Closure of a certain subset in a compact topological group
47251
Non-compactness of $\mathbb{R}$ with the cocountable topology
67259
Can we prove that a bounded closed subset of $\mathbb R^n$ is compact without Axiom of Choice?
80827
Let $A$ be a nonempty subset of $\mathbb{R}$. Prove...
80180
Discrete and compact subset must be finite
3708
How can I prove that compact subset iff sequentially compact in second countable topological spaces?
143105
Show that, for every real number a, the set {$x ∈ S | f(x) ≤ a$} is a closed subset of $\mathbb R^d$
147331
Compactness and Hausdorffness
86309
Whether the set $A$ is a compact subset of $M_3(\Bbb R)$.