= Orientation of a vector bundle
{wiki=Orientation_of_a_vector_bundle}
The orientation of a vector bundle is a concept from differential geometry and algebraic topology that is related to the notion of orientability of the fibers of the bundle. A vector bundle \\( E \\) over a topological space \\( X \\) consists of a base space \\( X \\) and, for each point \\( x \\in X \\), a vector space \\( E_x \\) attached to that point. The vector spaces are called the fibers of the bundle. \#\#\# Definition of Orientation 1.
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