The CAT(0) version of Cannon's conjecture for planar visual boundaries
Let be a CAT(0) group admitting a planar visual boundary.
CAT(0) Cannon conjecture. The group has a finite-index subgroup that is the fundamental group of an aspherical -manifold.
The source presents this as a CAT(0) analogue of Cannon's conjecture. It states that no counterexamples are known, so the conjecture remains open.
References
Primary source
Arka Banerjee and Kevin Schreve, “Cyclic orders and actions of Leary–Minasyan groups on coarse PD(n) spaces”, arXiv:2508.01075 (2025).
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