$E\subset C[0,1]$ closed with functions of $C^1$ is finite dimensional
74764
Dimension for a closed subspace of $C[0,1]$.
102048
Closure of a compact set in Regular space $ X $
101371
show that $f^{(3)}(c) \ge 3$ for $c\in(-1,1)$
45219
Proving that $C$ is a subset of $f^{-1}[f(C)]$
17461
Show that a set is dense in $[-1,1]$
52014
Showing $(C[0,1], d_1)$ is not a complete metric space
34964
Recursive representation of closed sets in Baire Space ($\Sigma^1_1$)
122536
Show that any finite $T_1$-space $X$ is discrete.
92774
Prove that a linear subspace of $C([0,1])$ is closed
31124
The closure of $c_{00}$ is $c_{0}$ in $\ell^\infty$
61640
Prove c exists for f:[0,1] -> R
63590
Let $g$ be a function from $(0, 1)$ to $\mathbb{R}$ and $\int_0^1 g^2(x)dx$ finite. Does this imply that $\int_0^1 g(x)dx$ is finite?
93111
Finiteness of the Algebraic Closure
158569
Proving a particular subset of $R^n$ is closed
148994
$K \subset \mathbb{R}^n$ is compact iff it is closed and bounded
125962
The set $A'$ is closed in a $T_1$ space
104257
$C^1$ functions on an open connected set and local Lipschitz continuity