**Point of Post: **This is a continuation of this post. 654 more words

## Tags » Manifold Theory

#### Smooth Maps and the Category of Smooth Manifolds (Pt. III)

#### Smooth Maps and the Category of Smooth Manifolds (Pt. II)

**Point of Post: **This is a continuation of this post. 678 more words

#### 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.

**Motivation**

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. III)

**Point of Post: **This is a continuation of this post. 670 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

#### Topological Manifolds (Pt. III)

**Point of Post: **This is a continuation of this post. 965 more words

#### Topological Manifolds (Pt. II)

**Point of Post: **This is a continuation of this post. 758 more words