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THE MAPPING CLASS GROUP OF A DISK WITH INFINITELY MANY HOLES.

Authors :
Fabel, Paul
Source :
Journal of Knot Theory & Its Ramifications. Jan2006, Vol. 15 Issue 1, p21-29. 9p.
Publication Year :
2006

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*BRAID theory
*MATHEMATICAL mappings
*ARTIN algebras
*KNOT theory
*TOPOLOGY
*MATHEMATICS

Details

Language :
English
ISSN :
02182165
Volume :
15
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Knot Theory & Its Ramifications
Publication Type :
Academic Journal
Accession number :
19632353
Full Text :
https://doi.org/10.1142/S0218216506004324
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