Every compact subset of $\mathbb{R}$ is the support of a Borel measure.
131037
Is every compact subset of $\Bbb{R}$ the support of some Borel measure?
90540
What is wrong in this proof: That $\mathbb{R}$ has measure zero
35652
Every compact metric space is complete
139612
Follow-up regarding right-continuous $f:\mathbb{R} \to\mathbb{R}$ is Borel measurable
9268
Proving that the Union of Two Compact Sets is Compact
138202
Every open set in $\mathbb{R}$ is a countable union of closed sets
119649
Every metrizable space with a countable dense subset has a countable basis
99645
Metrizable topological space $X$ with every admissible metric complete then $X$ is compact
94485
Limit point compactness implies compactness.
73927
Is $\mathbb{R}$ a subset of $\mathbb{R}^2$?
91237
Every infinite set contains a countable subset
65976
in a topological space only finite subsets are compact sets
158498
$A\subset \mathbb{R}$ with more than one element and $A/ \{a\}$ is compact for a fixed $a\in A$
80
Convergence in measure implies convergence almost everywhere of a subsequence
45405
An elementary way to show any bounded subset of $\Bbb{R}^k$ is totally bounded
51853
$K\subseteq \mathbb{R}^n$ is a compact space iff every continuous function in $K$ is bounded.
53425
Prove that there exists a Borel measurable function $h: \mathbb R \to \mathbb R$ such that $g= h\circ f$.