# Category:Path Components

This category contains results about Path Components in the context of Topology.

Let $\sim$ be the equivalence relation on $T$ defined as:

$x \sim y \iff x$ and $y$ are path-connected.

The equivalence classes of $\sim$ are called the path components of $T$.

If $x \in T$, then the path component of $T$ containing $x$ (that is, the set of points $y \in T$ with $x \sim y$) can be denoted by $\map {\operatorname{PC}_x} T$.

## Subcategories

This category has only the following subcategory.

## Pages in category "Path Components"

The following 9 pages are in this category, out of 9 total.