TOPOLOGY MANIFOLD
Definition
A <TOPOLOGY MANIFOLD> is a <MANIFOLD PROJECTION> (S, T); it complies with the following: There exists an integer n, such that for each member x of S, there exists an open_set N(x) containing x that is the image of a 1-1 function over an open_set within Rn. If p and q are such 1-1 functions with overlapping images, then p-1q and q-1p are both differentiable. The integer n is the dimension of the manifold