nLab
direct sum of vector bundles

Contents

Idea

For E 1,E 2XE_1, E_2 \to X two vector bundles, their direct sum over XX, also called their Whitney sum, is the vector bundle E 1E 2XE_1 \oplus E_2 \to X whose fiber over any xXx \in X is the direct sum of vector spaces of the fibers of E 1E_1 and E 2E_2.

Revised on July 12, 2013 19:10:10 by Urs Schreiber (82.113.121.27)