# Category:Stone Spaces

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

Let $B$ be a Boolean algebra.

The Stone space of $B$ is the topological space:

$\map S B = \struct {U, \tau}$

where:

$U$ is the set of ultrafilters in $B$
$\tau$ is the topology generated by the basis consisting of all sets of the form:
$\set {x \in \map S B: b \in x}$
for some $b \in B$.

## Pages in category "Stone Spaces"

This category contains only the following page.