Compact Sets in $\mathbb{R^{n^2}}$
128835
Compactness of the set of $n \times n$ orthogonal matrices
156479
Fractal dimension of set in $\mathbb{R}^2$
37654
Topology: Example of a compact set but its closure not compact
66334
How is every subset of the set of reals with the finite complement topology compact?
67259
Can we prove that a bounded closed subset of $\mathbb R^n$ is compact without Axiom of Choice?
100919
Examples of non-measurable sets in $\mathbb{R}$
22131
Prove if nonempty $K \subset\mathbb{R}$ is compact, then both sup $K$ and inf $K$ exist and are elements of $K$.
36631
Is $[0,1] \cap \Bbb Q$ a compact subset of $\Bbb Q$?
93177
in which subset of $R^2$ the series is convergent?
158882
Prove the existence of some weird family of sets
74498
Smallest dense subset of $\mathbb{R}$
60424
Uncountable family of uncountable compact subsets of $\mathbb{R}$
69166
Cardinality of $\mathbb{R}$ and $\mathbb{R}^2$
155794
Are the complements of two homeomorphic compact, connected subsets of $\mathbb{R}^2$ homeomorphic?
9268
Proving that the Union of Two Compact Sets is Compact
69273
Is there a compact subset of the irrationals with positive Lebesgue measure?
143269
Existence of area-preserving diffeomorphism between two sets in $\mathbb{R}^2$