2020
DOI: 10.1070/im8970
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On the group of spheromorphisms of a homogeneous non-locally finite tree

Abstract: Consider a tree T, all whose vertices have countable valence; its boundary is the Baire space B ≃ N N ; continued fractions expansions identify the set of irrational numbers R \ Q with B. Removing k edges from T we get a forest consisting of copies of T. A spheromorphism (or hierarchomorphism) of T is an isomorphisms of two such subforests considered as a transformation of T or of B. Denote the group of all spheromorphisms by Hier(T). We a show that the correspondence R \ Q ≃ B sends the Thompson group realize… Show more

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