What functions are in $C_0(\Omega)$ that are not in $C_c(\Omega)$?
5392
Compact support vs. vanishing at infinity?
43598
Do $\omega^\omega=2^{\aleph_0}=\aleph_1$?
53376
A continuous, nowhere differentiable but invertible function?
99179
Continuous function with compact domain has continuous inverse
14840
$c_0$ is a closed subspace of $l^{\infty}$
56429
Extension of partial derivatives and the definition of $C^k(\overline{\Omega})$
83185
How to show countability of $\omega^\omega$ or $\epsilon_0$ in ZF?
33488
A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?
115878
Continuous unbounded but integrable functions
103241
A function that is continuous at the origin but not differentiable there
58597
A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous
131992
A problem on continuous functions
31124
The closure of $c_{00}$ is $c_{0}$ in $\ell^\infty$
80735
Show that $C_0([a, b], \mathbb{R})$ is not $\sigma$-compact
84394
Choice function for a collection of nonempty subsets of $\{0,1\}^\omega$
68409
Consider $f(x,y)=\sup_{θ,φ}\{||e^{i θ }x+ e^{i φ }y||^2: θ,φ∈R\}$ in which $x,y\in\mathbb C^n$
6186
An Integrable function which is not essentially bounded on any subinterval of $[0,1]$