The mapping class group of a disk with infinitely many holes

Mathematics – Geometric Topology

Scientific paper

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8 pages; Corrects grammatical errors in previous version

Scientific paper

A left orderable completely metrizable topological group is exhibited
containing Artin's braid group on infinitely many strands. The group is the
mapping class group (rel boundary) of the closed unit disk with a sequence of
interior punctures converging to the boundary. This resolves an issue suggested
by work of Dehornoy.

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