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Coarse geometry of homeomorphism groups: Classifying countable Stone spaces

math.GR · 2026-07-01 · conditional · novelty 8.0

Homeomorphism groups of countable Stone spaces are coarsely classified: coarsely bounded when there is one maximal point, quasi-isometric to the infinite Hamming cube for several maximal points of successor rank, and coarsely equivalent to the leaves of a countably branching infinite tree in the…

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  • Coarse geometry of homeomorphism groups: Classifying countable Stone spaces math.GR · 2026-07-01 · conditional · none · ref 62

    Homeomorphism groups of countable Stone spaces are coarsely classified: coarsely bounded when there is one maximal point, quasi-isometric to the infinite Hamming cube for several maximal points of successor rank, and coarsely equivalent to the leaves of a countably branching infinite tree in the…