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math.GT2026
Cut pairs and Morse splitting of finitely generated groups
Suzhen Han, Hao Liang, Qing Liu
Bowditch's theorem for hyperbolic groups establishes a fundamental correspondence between splittings over two-ended subgroups and the existence of local cut points in the Gromov bo…
math.GR2026
On Uniformly Perfect Morse Boundaries
Suzhen Han, Qing Liu
We introduce and geometrically characterize the notion of uniformly perfect Morse boundary for proper geodesic metric spaces. As a unifying result, we prove that the Morse boundary…