# nLab trivial fiber bundle

### Context

#### Bundles

bundles

fiber bundles in physics

# Contents

## Idea

The trivial fiber bundle over $B$ with fibre $F$ is simply the Cartesian product $B \times F$, equipped with the projection map to $B$ to make it a fiber bundle over $B$

$\array{ B \times F \\ {}^{\mathllap{pr_1}}\downarrow \\ B }$

A fiber bundle which not the trivial bundle but is isomorphic to the trivial bundle is called trivializable and the chosen isomorphism is called the corresponding trivialization.

## Examples

Revised on September 13, 2017 13:51:32 by Urs Schreiber (192.41.134.76)