chart

A coordinate chart is a way of expressing the points of a small neighborhood, usually on a manifold M, as coordinates in Euclidean space. An example from geography is the coordinate chart given by the functions of latitude and longitude. This coordinate chart is not valid on the whole globe, since it doesn't give unique coordinates at the north or south pole (which way is east from the north pole?).

atlas | complex manifold | Euclidean space | manifold | smooth manifold | transition function