Category:Path Components
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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 the following 2 subcategories, out of 2 total.
Pages in category "Path Components"
The following 7 pages are in this category, out of 7 total.