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Displaying similar documents to “Geometric objects of submanifolds of a space with fundamental Lie pseudogroup”

Functorial prolongations of Lie groupoids

Ivan Kolář (2007)

Banach Center Publications

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For every Lie groupoid Φ with m-dimensional base M and every fiber product preserving bundle functor F on the category of fibered manifolds with m-dimensional bases and fiber preserving maps with local diffeomorphisms as base maps, we construct a Lie groupoid ℱ Φ over M. Every action of Φ on a fibered manifold Y → M is extended to an action of ℱ Φ on FY → M.