# Category:Stone Spaces

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This category contains results about Stone Spaces.

Let $B$ be a Boolean algebra.

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

- $S \left({B}\right) = \left({U, \tau}\right)$

where:

- $U$ is the set of ultrafilters in $B$
- $\tau$ is the topology generated by the basis consisting of all sets of the form:
- $\left\{{x \in S \left({B}\right): b \in x}\right\}$

- for some $b \in B$.

## Pages in category "Stone Spaces"

This category contains only the following page.