3 papers
math.DS2025
L-shadowing for the induced hyperspace homeomorphism
Mayara Antunes, Bernardo Carvalho, Welington Cordeiro
We prove that a homeomorphism f of a compact metric space X satisfies the L-shadowing property if and only if its induced hyperspace homeomorphism also satisfies the L-shadowing pr…
math.DS2024
Transitivity of real Anosov diffeomorphisms
Bernardo Carvalho
We prove the transitivity of real Anosov diffeomorphisms, which are Anosov diffeomorphisms where stable and unstable spaces decompose into a continuous sum of invariant one-dimensi…
math.DS2024
Stable/unstable continua of cw-expansive flows
Alfonso Artigue, Bernardo Carvalho, Margoth Tacuri
We introduce distinct definitions of local stable/unstable sets for flows without fixed points, namely, kinematic, geometric, and sectionally geometric, and discuss relations betwe…