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Date: 17-6-2021
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Date: 12-6-2021
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Date: 16-7-2021
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An operation that takes two vector bundles over a fixed space and produces a new vector bundle over the same space. If and
are vector bundles over
, then the Whitney sum
is the vector bundle over
such that each fiber over
is naturally the direct sum of the
and
fibers over
.
The Whitney sum is therefore the fiber for fiber direct sum of the two bundles and
. An easy formal definition of the Whitney sum is that
is the pull-back bundle of the diagonal map from
to
, where the bundle over
is
.
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