The three boundedness classes of homeomorphism groups of countable Stone spaces are exactly the coarse equivalence classes, with the middle class quasi-isometric to the Hamming cube and infinite Hamming graphs bi-Lipschitz equivalent.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.GR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Left coarse structure on G/H is not always the quotient of that on G; counterexample in mapping class groups of Loch Ness monster surfaces, plus conditions involving bounded-set liftings, transversals, and metrisability.
citing papers explorer
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Coarse geometry of homeomorphism groups: Classifying countable Stone spaces
The three boundedness classes of homeomorphism groups of countable Stone spaces are exactly the coarse equivalence classes, with the middle class quasi-isometric to the Hamming cube and infinite Hamming graphs bi-Lipschitz equivalent.
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Coarse Structures on Homogeneous Spaces
Left coarse structure on G/H is not always the quotient of that on G; counterexample in mapping class groups of Loch Ness monster surfaces, plus conditions involving bounded-set liftings, transversals, and metrisability.