Tags » Manifold Theory

Smooth Maps and the Category of Smooth Manifolds (Pt. I)

Point of Post: In this post we define what it means for a map between two manifolds to be smooth.


We literally defined smooth manifolds to be the topological spaces where we will have a relatively sound meaning of what a “smooth map” is. 819 more words

Smooth Manifolds (Pt. I)

Point of Post: In this post we define the notion of smooth manifolds, give ample examples, and prove some fundamental results about the construction of smooth manifolds. 1,049 more words