Chart

Definition (Chart)

Let SS be a set. A chart for SS is a pair (U,ϕ)(\mathcal{U},\phi) with

  1. U\mathcal{U} a subset of SS, and
  2. ϕ:URn\phi:\mathcal{U}\to \mathbb{R}^{n} and injection for which ϕ(U)\phi(\mathcal{U}) is an open subset of Rn\mathbb{R}^{n}.

Linked from