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Let (M, ω) be a Hamiltonian G-space with a momentum map F : M → g * . It is well-known that if α is a regular value of F and G acts freely and properly on the level setWe show that if the regularity assumptions are dropped the space M α is a union of symplectic manifolds, and that the symplectic manifolds fit together in a nice way. In other words the reduced space is a symplectic stratified space. This extends results known for the Hamiltonian action of compact groups.

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