MathDBThe CAT(0) version of Cannon's conjecture for planar visual boundaries
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.
Sources & referencesView supporting material
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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