/sci/ - Science & Math

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Anonymous Thu, Jul 12, 2012 12:08:04 No.4865152 [Reply] [Original]

Really need you're help /sci/

Let f:M\to M[/spoiler] be a diffeomorphism of the two dimensional manifold M[/spoiler] with p\in M[/spoiler] a hyperbolic fixed sattle (Df(p)[/spoiler] has eigenvalues \lambda_1[/spoiler] and \lambda_2[/spoiler] with 0<|\lambda_1|<1<|\lambda_2|[/spoiler] ). Suppose that there is a point q[/spoiler] in the intersection of one branch of the unstable manifold W_+^u(p)[/spoiler] and the stable manifold W^s(p)[/spoiler] and that the intersection of W_+^u(p)[/spoiler] with W_+^s(p)[/spoiler] at q[/spoiler] is not topologically transverse. Is cl(W_+^u(p))[/spoiler] not chainable?

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