2 papers
math.DS2024
On sufficient conditions for the transitivity of homeomorphisms
Maria Carvalho, Vinícius Coelho, Luciana Salgado
We derive a necessary and sufficient condition for a homeomorphism with the shadowing property to be topologically transitive: to have an invariant subset , dense in the non-wan…
math.DS2021
Sensitivity and historic behavior for continuous maps on Baire metric spaces
M. Carvalho, V. Coelho, L. Salgado +1
We introduce a notion of sensitivity, with respect to a continuous bounded observable, which provides a sufficient condition for a continuous map, acting on a Baire metric space, t…