# nLab sub-bundle

Contents

### Context

#### Bundles

bundles

fiber bundles in physics

# Contents

## Definition

A sub-bundle is a subobject in a category of bundles.

If $\left[ E \overset{fb}{\to} X\right]$ is a bundle, then a sub-bundle is a monomorphism

$S \hookrightarrow E$

in the given slice category over $X$, hence

$\array{ S && \hookrightarrow && E \\ & {}_{\mathllap{\exists!}}\searrow && \swarrow_{\mathrlap{fb}} \\ && X }$

## Examples

Created on October 23, 2017 at 05:05:27. See the history of this page for a list of all contributions to it.