2005/12/01 by Paul Fabel · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Artin group #Braid #Braid group #Braid theory #Combinatorics #Coxeter group #Discrete mathematics #Fundamental group #Generalization #Geometric and Algebraic Topology #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Order (exchange) #Pure mathematics
paper · doi:10.1142/s0218216505004196
openalex publication_date 2005/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/15
A generalization of the topological fundamental group is developed in order to construct a completion of Artin's braid group on infinitely many strands with respect to the following notion of convergence: b n → id iff for each M > 0, eventually the first M strands of b n are trivial.