# Category:Totally Separated Spaces

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This category contains results about Totally Separated Spaces.

Definitions specific to this category can be found in Definitions/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 "Totally Separated Spaces"

The following 11 pages are in this category, out of 11 total.