# Category:Connected Spaces

This category contains results about Connected Spaces in the context of Topology.
Definitions specific to this category can be found in Definitions/Connected Spaces.

Let $T = \left({S, \tau}\right)$ be a non-empty topological space.

$T$ is connected if and only if there exists no continuous surjection from $T$ onto a discrete two-point space.

## Subcategories

This category has the following 22 subcategories, out of 22 total.