# Category:Connected Sets

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This category contains results about **Connected Sets** in the context of **Topology**.

Definitions specific to this category can be found in Definitions/Connected Sets.

$H$ is a **connected set of $T$** if and only if it is not the union of any two non-empty separated sets of $T$.

## Subcategories

This category has only the following subcategory.

## Pages in category "Connected Sets"

The following 14 pages are in this category, out of 14 total.

### C

### E

- Equivalence of Definitions of Component
- Equivalence of Definitions of Component/Equivalence Class equals Union of Connected Sets
- Equivalence of Definitions of Component/Maximal Connected Set is Union of Connected Sets
- Equivalence of Definitions of Component/Union of Connected Sets is Maximal Connected Set
- Equivalence of Definitions of Connected Set