Ehresmann's lemma
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Lua error in package.lua at line 80: module 'strict' not found. In mathematics, Ehresmann's lemma or Ehresmann's fibration theorem states that a smooth mapping
- f:M → N
where M and N are smooth manifolds, such that
- f is a surjective submersion, and
- f is a proper map, (in particular if M is compact)
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.
References
- Ehresmann, C., Les connexions infinitésimales dans un espace fibré différentiable, Colloque de Topologie, Bruxelles (1950), 29-55.
