Continuous compactly supported real valued functions on a locally compact and $\sigma$ compact space is separable
107772
Separability of functions with compact support
120947
continuous real-valued function
47810
$C(X)$ is separable when $X$ is compact?
47251
Non-compactness of $\mathbb{R}$ with the cocountable topology
95074
Separability of $l^{p}$ spaces
36149
A uniformly continuous function maps bounded set to bounded sets
66334
How is every subset of the set of reals with the finite complement topology compact?
58597
A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous
158814
Two definitions of locally compact space
8334
A reflexive Banach space is separable iff its dual is separable
103451
Show that $Y$ is locally compact.
117502
Proving that a certain continuous function is surjective.
90152
Continuous with compact support implies uniform continuity
30965
$f$ is continuous on $X$ iff $f$ is continuous on every compact subset
128730
Open subspaces of locally compact Hausdorff spaces are locally compact
143484
A separable locally compact metric space is compact iff all of its homeomorphic metric spaces are bounded
121957
Is $p\mapsto \|f\|_p$ continuous?