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Ehresmann's TheoremIn mathematics, Ehresmann's fibration theorem states that a smooth mapping - f:M → N
where M and N are smooth manifolds, such that - f is a submersion, and
- f is a proper map,
is a locally trivial fibration. This is a foundational result in differential topology, and exists in many further variants. It is due to Charles Ehresmann. Reference Ehresmann, C., Les connexions infinitsimales dans un espace fibr diffrentiable, Colloque de Topologie, Bruxelles (1950), 29-55.
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