Low-dimensional topology

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 manifolds, or more generally topological spaces, of four or fewer dimensions. Representative topics are the structure theory of 3-manifolds and 4-manifolds, knot theory, and braid groups. 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.


From Wikipedia, the free encyclopedia · View on Wikipedia

Developed by Nelliwinne