Hyperbolic Sets for Noninvertible Maps and Relations

by Evelyn Sander

This thesis presents a theory of hyperbolic structures and dynamics of smooth noninvertible maps and relations. In this context, it includes a new proof of the stable manifold theorem for fixed points, the shadowing lemma, and a version of the stable manifold theorem for hyperbolic sets. It also gives a description of some of the behavior of transverse homoclinic orbits for noninvertible maps and relations.

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