Manifolds and cobordisms
A topological manifold of dimension is by definition a topological space that is locally homeomorphic to a Cartesian space . A choice of such morphism
is a coordinate system or coordinate chart or just chart on the image of .
This generalises to other sorts of manifolds.
An atlas is the collection of coordinate charts defining a manifold structure.
Revised on January 14, 2015 21:23:50
by Urs Schreiber