Morse subsets of CAT(0) spaces are strongly contracting

Abstract

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.

3 pages

References in corpus (2)

• A Metrizable Topology on the Contracting Boundary of a Group
• Convexity in hierarchically hyperbolic spaces

Cited by in corpus (1)

• Morse elements in Garside groups are strongly contracting