Anosov and expanding attractors. (English) Zbl 1451.37032

Williams, Robert F.

Sci. China, Math. 63, No. 9, 1929-1934 (2020).

Summary: An earlier conjecture is settled with an immersion of a 2-dimensional branched manifold. Possible obstructions in linear algebra and tiling theory are studied first.

MSC:

37C70	Attractors and repellers of smooth dynamical systems and their topological structure
37C20	Generic properties, structural stability of dynamical systems
37D20	Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)
37B52	Tiling dynamics
57M12	Low-dimensional topology of special (e.g., branched) coverings

Keywords:

Anosov attractor; expanding attractor; Cantor set fiber bundle

References:

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