Completing Artin's braid group on infinitely many strands
Abstract
Description
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.
(15 pages) Corrects mistakes, improves the typesetting, and clarifies some proofs and other constructions in the previous version
(15 pages) Corrects mistakes, improves the typesetting, and clarifies some proofs and other constructions in the previous version