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Topological Anosov conjecture for expansive partially hyperbolic diffeomorphisms with one-dimensional center
Topological Anosov conjecture. Any such $f$ must be topologically Anosov.
Conjectureopenanosov-diffeomorphisms expansive-dynamics partially-hyperbolic-dynamicsarXiv posted 2 days ago
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The expansiveness conjecture for non-wandering sets of topologically stable homeomorphisms
Let $M$ be a closed topological manifold and let $f:M\to M$ be a homeomorphism. Denote by $\Omega(f)$ the non-wandering set of $f$ , and let $f|_{\Omega(f)}$ be the restriction of…
Conjectureopenexpansive-dynamics shadowing topological-dynamicsarXiv posted 2 days ago

Topological Anosov conjecture for expansive partially hyperbolic diffeomorphisms with one-dimensional center