In mathematics, the inverse bundle of a fibre bundle is its inverse with respect to the Whitney sum operation. Let

E \rightarrow M

be a fibre bundle. A bundle

E' \rightarrow M

is called the ''inverse bundle'' of

E

if their Whitney sum is a trivial bundle, namely if :

E \oplus E' \cong M \times \mathbb^n. \,

Any vector bundle over a compact Hausdorff base has an inverse bundle.

References

* {{Citation , last=Hatcher , first=Allen , author-link=Allen Hatcher , title=Vector Bundles & K-Theory , url=http://www.math.cornell.edu/~hatcher/VBKT/VBpage.html , edition=2.0 , year=2003 Differential topology Algebraic topology