Completing Artin's braid group on infinitely many strands

Paul Fabel

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Completing Artin's braid group on infinitely many strands

Paul Fabel

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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.

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Paul Fabel. 2004-07-05. Completing Artin's braid group on infinitely many strands. https://arxiv.org/abs/math/0201303

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