# Category:Definitions/Connected Spaces

This category contains definitions related to Connected Spaces in the context of Topology.
Related results can be found in Category:Connected Spaces.

Let $T = \struct {S, \tau}$ 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 10 subcategories, out of 10 total.

## Pages in category "Definitions/Connected Spaces"

The following 25 pages are in this category, out of 25 total.