$x \in \mathbb R^d$, $B$(closed)$ \subseteq \mathbb R^d$. Where $\mathbb R^d$ is an inner product space. Proof help
98206
Let $B\subset\mathbb{R}^d$ be closed and $z\in\mathbb{R}^d$, show that there is $b_0\in B$ such that $\delta(z,B)=\|z-b_0\|$.
118049
Show that $\mathbb{R}^{\mathbb{R}} = U_{e} \oplus U_{o}$
125962
The set $A'$ is closed in a $T_1$ space
92740
prove that $\mathbb{Q}^n$is dense subset of $\mathbb{R^n}$
46917
How to prove that $GL(n,\mathbb R)$ is not connected subset and open subset of$M_n (\mathbb{R})$
68490
For $x\in\mathbb R\setminus\mathbb Q$, the set $\{nx-\lfloor nx\rfloor: n\in \mathbb{N}\}$ is dense on $[0,1)$
128917
Inner Product on $\mathbb{R}$ and on $\mathbb{C}$
73338
Prove that the closure of complement, is the complement of the interior
73690
If $\mathbb R^3\setminus V$ connected where $V$ is the subspace generated by $\{(1,1,1),(0,1,1)\} $
151425
Does $\mathbb{R}^n$ have a real vector space structure with dimension other than $n$?
47975
Closed cone in the euclidean space $\mathbb{R}^n$
28683
Sum of two closed sets in $\mathbb R$ is closed?
141114
Question about a bijection between $\mathbb R$ and $\mathbb R \cup \{\infty\}$
22854
Let $A , B\subseteq\mathbb{R}$. If $A$ is closed and $B$ is compact, is $A\cdot B$ closed?
89089
Prove that there is a unique inner product on $V$
86472
$f:\mathbb R \to \mathbb R^n$ be such that $G(f):=\{(x,f(x)):x \in \mathbb R\}$ is closed and connected in $\mathbb R^{n+1}$ , is $f$ continuous ?
83054
Let $E$ be a Banach space, prove that the sum of two closed subspaces is closed if one is finite dimensional