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)