Completing Artin's braid group on infinitely many strands

Details Completing Artin's braid group on infinitely many strands Completing Artin's braid group on infinitely many strands

2002-01-30

arxiv.org/abs/math/0201303v3

Mathematics

Geometric Topology

(15 pages) Corrects mistakes, improves the typesetting, and clarifies some proofs and other constructions in the previous vers

Scientific paper

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.

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