Whitney Sum
An operation that takes two Vector Bundles over a fixed Space and produces a newVector 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 naturallythe 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 mapfrom to 
, where the Bundle over is 
.
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