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arXiv · 2503.06673

On boundaries of bicombable spaces

Daniel Danielski
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Abstract

We initiate systematic study of EZ-structures (and associated boundaries) of groups acting on spaces that admit consistent and conical (equivalently, consistent and convex) geodesic bicombings. Such spaces recently drew a lot of attention due to the fact that many classical groups act `nicely' on them. We rigorously construct EZ-structures, discuss their uniqueness (up to homeomorphism), provide examples, and prove some boundary-related features analogous to the ones exhibited by CAT(0) spaces and groups, which form a subclass of the discussed class of spaces and groups.

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Daniel Danielski. 2025-03-09. On boundaries of bicombable spaces. https://arxiv.org/abs/2503.06673

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