The real numbers/Infobox

The real numbers
$\mathbb{R}$
Algebraic structure
TODO: Todo - is a field
Standard topological structures
Main page: The real line
inner product	$\langle a,b\rangle:\eq a*b$ - Euclidean inner-product on $\mathbb{R}^1$
norm	$\Vert x\Vert:\eq\sqrt{\langle x,x\rangle}\eq\vert x\vert$ - Euclidean norm on $\mathbb{R}^1$
metric	$d(x,y):\eq\Vert x-y\Vert\eq \vert x-y\vert$ - Absolute value - Euclidean metric on $\mathbb{R}^1$
topology	topology induced by the metric $d$
Standard measure-theoretic structures
measurable space	Borel $\sigma$-algebra of $\mathbb{R}$
- other:	Lebesgue-measurable sets of $\mathbb{R}$ contains the Borel $\sigma$-algebra

The real line discusses $\mathbb{R}$ as a set.