Submersions, fibrations and bundles

By G. Meigniez. 2002

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The topology of the space of symplectic balls in rational 4-manifolds (2002, background): “Actually, since π is a smooth map between Fréchet manifolds, it is sufficient to prove that π is a submersion (see [16]).”
Superintegrable Hamiltonian Systems: Geometry and Perturbations (2005, background): “We shall often (tacitly) invoke the important Ehresmann fibration theorem and some of its consequences, according to which a surjective submersion whose fibers are compact and connected (or, more generally, have a constant number of connected components) is a fibration, see [ 35 ].”