nLab zero bundle

Redirected from "zero vector bundle".
Contents

Context

Bundles

bundles

Contents

Idea

For any notion of bundles with fibers from a pointed category, a zero bundle is a bundle all whose fibers are zero objects.

The construction of zero-bundles typically (such as in the following examples) constitutes a bireflective subcategory inclusion

SpacesBundles Spaces \hookrightarrow Bundles

of the category of base spaces into the given category of bundles.

For example:

(Beware that a zero-bundle is generally – such as in the above examples – not an empty bundle.)

Created on April 17, 2023 at 10:49:12. See the history of this page for a list of all contributions to it.