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S. Tikhomirov

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Preprint Oct 2026

Discontinuous Generalized Hyperbolicity and Structural Stability

We study diffeomorphisms of Banach spaces satisfying generalized hyperbolicity: the stable and unstable subspaces are invariant only up to inclusion, need not depend continuously on the point, and expansivity may fail. On closed manifolds, this condition is equivalent to Axiom~A with strong transversality. We introduce...

S. Tikhomirov · 0 citations

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