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Ara, Pere, Dykema, Kenneth J · 2012 · DOI 10.4153/cjm-2012-018-6

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math.DS 1

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Fiberwise amenability of \'{e}tale groupoids

math.DS · 2026-08-10 · accept · novelty 7.0

Sigma-compact etale groupoids receive a canonical coarse metric; the new fiberwise amenability notions recover group and metric amenability, imply invariant measures, coincide for minimal groupoids, and yield a Følner-paradoxical dichotomy.

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  • Fiberwise amenability of \'{e}tale groupoids math.DS · 2026-08-10 · accept · none · ref 2

    Sigma-compact etale groupoids receive a canonical coarse metric; the new fiberwise amenability notions recover group and metric amenability, imply invariant measures, coincide for minimal groupoids, and yield a Følner-paradoxical dichotomy.