# Category:Scattered Spaces

This category contains results about Scattered Spaces.

Definitions specific to this category can be found in Definitions/Scattered Spaces.

A topological space $T = \left({S, \tau}\right)$ is **scattered** if and only if it contains no non-empty subset which is dense-in-itself.

That is, $T = \left({S, \tau}\right)$ is **scattered** if and only if every non-empty subset $H$ of $S$ contains at least one point which is isolated in $H$.

## Pages in category "Scattered Spaces"

The following 15 pages are in this category, out of 15 total.