Jump to content

Inverse bundle

From Wikipedia, the free encyclopedia

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

Let be a fibre bundle. A bundle is called the inverse bundle of if their Whitney sum is a trivial bundle, namely if

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

References

[edit]
  • Hatcher, Allen (2003), Vector Bundles & K-Theory (2.0 ed.)