is compactness equivalent to limit point compactness?
94485
Limit point compactness implies compactness.
65358
Prove $X$ is compact iff for each family $\{ F_\alpha\}_{\alpha\in I}$ of closed subsets of $X$ with the FIP, we have $\cap F_\alpha\neq\varnothing$.
118045
Is the Baire space $\sigma$-compact?
69283
The limit points of an open interval (open set)
154978
Some equivalent formulations of compactness of a metric space
135157
Totally bounded, complete $\implies$ compact
127173
Closed subset of compact set is compact
62793
$\mathbb{R}$ with the lower limit topology is not second-countable
116663
If f is a continuous map from X to Y with X limit point compact, does it follow that f(X) is limit point compact?
158814
Two definitions of locally compact space
69103
$\limsup$ and cluster points
151832
uniformly convergence on compact metric space
94246
Category-theoretic limit related to topological limit?
70017
Every subspace of a compact space is compact?
44336
Is $\lim\limits_{x\to x_0}f'(x)=f'(x_0)$?
85242
Deciding whether two metrics are topologically equivalent in the space $C^1([0,1])$
71011
Criteria of compactness of an operator