2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63238A 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 versionGeometric TopologyGroup Theory57M30text