Motivation behind the definition of compact sets.
25752
What should be the intuition when working with compactness?
22804
Interpretation of limsup-liminf of sets
67702
Minimal dense subset
45792
Rigorous proof that surjectivity implies injectivity for finite sets
78763
Prove that $ S=\{0\}\cup\left(\bigcup_{n=0}^{\infty} \{\frac{1}{n}\}\right)$ is a compact set in $\mathbb{R}$.
107772
Separability of functions with compact support
11114
Is a closed subset of a compact set (which is a subset of a metric space $M$) compact?
106534
"Closed subsets of compact space are compact" with an alternative definition of covering
76918
Construct a compact set of real numbers whose limit points form a countable set.
29303
Cartesian product of compact sets is compact
24050
Characterization of the Closure of a Set
39076
Contraction of compact sets
106957
Compact sets are closed?
13779
Canonical copies of sets
50506
What concept does an open set axiomatise?
36237
Closed set mapped to itself in a compact Hausdorff space
66334
How is every subset of the set of reals with the finite complement topology compact?