# Category:Irreducible Spaces

This category contains results about Irreducible Spaces.
Definitions specific to this category can be found in Definitions/Irreducible Spaces.

A topological space $T = \struct {S, \tau}$ is irreducible if and only if every two non-empty open sets of $T$ have non-empty intersection:

$\forall U, V \in \tau: U, V \ne \O \implies U \cap V \ne \O$

## Subcategories

This category has the following 3 subcategories, out of 3 total.

## Pages in category "Irreducible Spaces"

The following 30 pages are in this category, out of 30 total.