View source for The real numbers

{{DISPLAYTITLE:The real numbers: {{M|\mathbb{R} }}}}{{Stub page|grade=C|msg=Once cleaned up and fleshed out, demote to D}}
<div>{{Infobox|title=The real numbers|above=<span style="font-size:9em;">{{M|\mathbb{R} }}</span>}}</div>__TOC__
==Definition==
===[[Cantor's construction of the real numbers]]===
{{:Cantor's construction of the real numbers/Definition}}
===[[Axiomatic construction of the real numbers]]===
{{:Axiomatic construction of the real numbers/Definition}}
=={{M|\mathbb{R} }} is an example of:==
* [[Vector space]]
* [[Field]] ({{M|\implies\ \ldots\implies}} [[ring]])
* [[Complete metric space]] ({{M|\implies}} [[topological space]])
** With the metric of [[absolute value]]
{{Todo|Flesh out}}
==Properties==
{{Collapsible box|title=
* The [[axiom of completeness]] - a badly named property that isn't really an [[axiom]].
|content={{:Axiom of completeness/Statement}}}}
==Notes==
<references group="Note"/>
==References==
<references/>
{{Definition|Real Analysis}}