= Connection (principal bundle)
{wiki=Connection_(principal_bundle)}
In the context of differential geometry and algebraic topology, a **connection** on a principal bundle is a mathematical structure that allows one to define and work with notions of parallel transport and differentiability on the bundle. A principal bundle is a mathematical object that consists of a total space \\( P \\), a base space \\( M \\), and a group \\( G \\) (the structure group) acting freely and transitively on the fibers of the bundle.
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