\begin{definition}[Definition:Category of n-Dimensional Cobordism]
The '''category of n-dimensional cobordism''' is the category $\mathbf{nCob}$ with:
{{DefineCategory
|ob = $\paren {n - 1}$-dimensional topological manifolds
|mor = cobordisms
|id = cylinder cobordisms
|comp = glueing of cobordisms
}}
Category:Definitions/Cobordisms
Category:Definitions/Examples of Categories
\end{definition}