On James Hyde’s example of non-orderable subgroup of $\mathrm{Homeo}(D,\partial D)$
نویسندگان
چکیده
In [Ann. Math. 190 (2019), 657-661], James Hyde presented the first example of non-left-orderable, finitely generated subgroup $\mathrm{Homeo}(D,\partial D)$, group homeomorphisms disk fixing boundary. This implies that D)$ itself is not left-orderable. We revisit construction, and present a slightly different proof purely dynamical flavor, avoiding direct references to properties left-orders. Our approach allows solve analogue problem for actions on circle.
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ژورنال
عنوان ژورنال: L'enseignement mathématique
سال: 2021
ISSN: ['0013-8584', '2309-4672']
DOI: https://doi.org/10.4171/lem/66-3/4-5