Publicación:
Finite-Expansivity and N-Shadowing
Finite-Expansivity and N-Shadowing
No hay miniatura disponible
Fecha
2021
Autores
Carrasco-Olivera D.
Lee K.
Morales C.A.
Villavicencio H.
Título de la revista
Revista ISSN
Título del volumen
Editor
Springer Science and Business Media Deutschland GmbH
Proyectos de investigación
Unidades organizativas
Número de la revista
Abstracto
We prove that every finite-expansive homeomorphism with the shadowing property has a kind of stability. This stability will be good enough to imply both the shadowing property and the denseness of periodic points in the chain recurrent set. Next we analyze the N-shadowing property which is really stronger than the multishadowing property in Cherkashin and Kryzhevich (Topol Methods Nonlinear Anal 50(1): 125–150, 2017). We show that an equicontinuous homeomorphism has the N-shadowing property for some positive integer N if and only if it has the shadowing property. © 2021, Sociedade Brasileira de Matemática.
Descripción
Palabras clave
N-shadowing,
Homeomorphism