View source for Right separated space

{{TEX|done}}{{MSC|54G12}}

A [[topological space]] $X$ is '''right''' (resp. '''left''') '''separated''' if there is a [[Well-ordered set|well ordering]] ${<}$ on $X$ such that the segments $\{x \in X : x < y\}$ are all open (resp. closed) in the topology of $X$.

A Hausdorff space is [[scattered space|scattered]] if and only if it is right separated.

==References==
* Sheldon W. David, "Topology", McGraw-Hill (2005) {{ISBN|0072910062}}