Editing Low-dimensional topology (section)

{{short description|Branch of topology}}
[[Image:Trefoil knot arb.png|thumb|A three-dimensional depiction of a thickened [[trefoil knot]], the simplest non-[[trivial knot]]. [[Knot theory]] is an important part of low-dimensional topology.]]

In [[mathematics]], '''low-dimensional topology''' is the branch of [[topology]] that studies [[manifold]]s, or more generally topological spaces, of four or fewer [[dimension]]s. Representative topics are the structure theory of [[3-manifold]]s and [[4-manifold]]s, [[knot theory]], and [[braid group]]s. This can be regarded as a part of [[geometric topology]]. It may also be used to refer to the study of topological spaces of dimension 1, though this is more typically considered part of [[continuum theory]].