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THE MAPPING CLASS GROUP OF A DISK WITH INFINITELY MANY HOLES

PAUL FABEL

Drawer MA, Department of Mathematics and Statistics, Mississippi State, Ms. 39762, USA

https://doi.org/10.1142/S0218216506004324Cited by:2 (Source: Crossref)

Abstract

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.

Keywords:

AMSC: 20F36, 57M60

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