Morse subsets of CAT(0) spaces are strongly contracting

We prove that Morse subsets of CAT(0) spaces are strongly contracting. This generalizes and simplifies a result of Sultan, who proved it for Morse quasi-geodesics. Our proof goes through the recurrence characterization of Morse subsets.

Detalles Bibliográficos
Autor principal: Cashen, Christopher H.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2019
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7194253/
https://www.ncbi.nlm.nih.gov/pubmed/32382199
http://dx.doi.org/10.1007/s10711-019-00457-x
Descripción
Sumario:We prove that Morse subsets of CAT(0) spaces are strongly contracting. This generalizes and simplifies a result of Sultan, who proved it for Morse quasi-geodesics. Our proof goes through the recurrence characterization of Morse subsets.

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