In differential geometry, an **affine bundle** is a generalization of the concept of a vector bundle. While a vector bundle provides a way to associate a vector space to each point in a base manifold, an affine bundle allows for a more general structure, specifically associating an affine space to each point of the manifold.
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A fiber bundle whose fibers are affine spaces and whose transition functions are affine. Differences of points in one fiber lie in a corresponding model vector bundle, but there need not be a preferred zero in each fiber.