Completing Artin's braid group on infinitely many strands
Geometric Topology
2007-05-23 v3 Group Theory
Abstract
A generalization of the topological fundamental group is developed in order to exhibit a topologically complete braid group containing Artin's braid group on infinitely many strands with respect to the following notion of convergence: A sequence of braids b(n) converges to the trivial braid iff for each M>0 eventually the first M strands of b(n) are trivial.
Cite
@article{arxiv.math/0201303,
title = {Completing Artin's braid group on infinitely many strands},
author = {Paul Fabel},
journal= {arXiv preprint arXiv:math/0201303},
year = {2007}
}
Comments
(15 pages) Corrects mistakes, improves the typesetting, and clarifies some proofs and other constructions in the previous version