On this page:
1 Definition
2 Examples
2.1 Supervector space as a supermanifold
2.2 Odd tangent bundle

Functor of points

1 Definition

A supermanifold can be characterized by the following contravariant functor:

(1)

2 Examples

2.1 Supervector space as a supermanifold

For any supervector space we define:

2.2 Odd tangent bundle

Suppose that is a supermanifold. Then can be defined as follows:

(2)