# Category:Partition Topology

This category contains results about Partition Topology.

Let $S$ be a set.

Let $\mathcal P$ be a partition of $S$.

Let $\tau$ be the set of subsets of $S$ defined as:

$a \in \tau \iff a$ is the union of sets of $\mathcal P$

Then $\tau$ is a partition topology on $S$, and $\left({S, \tau}\right)$ is a partition (topological) space.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Partition Topology"

The following 19 pages are in this category, out of 19 total.