# Category:Definitions/Totally Separated Spaces

Jump to navigation
Jump to search

This category contains definitions related to Totally Separated Spaces.

Related results can be found in **Category:Totally Separated Spaces**.

A topological space $T = \struct {S, \tau}$ is **totally separated** if and only if:

- For every $x, y \in S: x \ne y$ there exists a separation $U \mid V$ of $T$ such that $x \in U, y \in V$.

## Pages in category "Definitions/Totally Separated Spaces"

The following 3 pages are in this category, out of 3 total.