A lambda-lemma for normally hyperbolic invariant manifolds
  Let $N$ be a smooth manifold and $f:N\to N$ be a $C^l$, $l\geq 2$ diffeomorphism. Let $M$ be a normally hyperbolic invariant manifold, not necessarily compact. We prove an analogue of the $\lambda$-lemma in this case. 
Jacky Cresson (LM-Besan\c{c}on), Stephen Wiggins (SM-BRISTOL)