Groups with navigable path systems satisfy weak rank rigidity and the Morse local-to-global property, proved uniformly via a new generalised contraction space.
arXiv preprint arXiv:2404.12162 , year=
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2026 2verdicts
UNVERDICTED 2representative citing papers
A group has σ-compact Morse boundary precisely when it satisfies the Morse local-to-global property, enabling construction of the first non-virtually cyclic example with an infinite-order Morse element outside acylindrical hyperbolicity.
citing papers explorer
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Weak rank rigidity for groups with a navigable path system
Groups with navigable path systems satisfy weak rank rigidity and the Morse local-to-global property, proved uniformly via a new generalised contraction space.
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Connections between the topology of the Morse boundary, the Morse local-to-global property and acylindrical hyperbolicity
A group has σ-compact Morse boundary precisely when it satisfies the Morse local-to-global property, enabling construction of the first non-virtually cyclic example with an infinite-order Morse element outside acylindrical hyperbolicity.