The no-short-separating-arc conjecture for CAT(0) boundaries
The no-short-separating-arc conjecture for CAT(0) boundaries
Let be a one-ended group acting geometrically on a CAT(0) space , and let denote its boundary. Assume that has no finite cut. No-short-separating-arc conjecture. No arc of Tits length separates . This conjecture proposes that, in the absence of finite cuts, CAT(0) boundaries cannot be separated by sufficiently short Tits-geodesic arcs; its status is not resolved in the supplied source.
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Primary source
Panos Papasoglu and Eric Swenson, “Finite cuts and CAT(0) boundaries”, arXiv:1807.04086 (2018).
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