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Factor system for graphs and combinatorial HHS

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arxiv 2409.08663 v1 pith:DU6S3SS4 submitted 2024-09-13 math.GT

classification math.GT
keywords combinatorialgraphsmachineryfactorsystemapplicationcomplexconstraint
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We relaxe the constraint on the domains of combinatorial HHS machinery so combinatorial HHS machinery works for most cubical curve graphs. As an application we extend the factor system machinery of the CAT(0) cube complex to the quasi-median graphs.

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  1. New tools in hierarchical hyperbolicity: A survey

    math.GR 2025-07 accept

    A survey of tools for hierarchical hyperbolicity, including combinatorial HHSs, injective metrics, asymptotically CAT(0) metrics, curtains, R-cubings, and higher-rank JSJ decompositions.

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