Scattered space
= Scattered space
{wiki=Scattered_space}
In topology, a **scattered space** is defined as a topological space in which there are no non-empty subsets that are dense in the space. More formally, a topological space \\( X \\) is called scattered if every non-empty subset \\( A \\) of \\( X \\) contains a point \\( x \\) such that the closure of \\( \\\{x\\\} \\) in \\( X \\) does not include any other points of \\( A \\).