2006/01/01 by Paul Fabel · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Boundary (topology) #Braid #Braid group #Class (philosophy) #Combinatorics #Computer science #Geometric and Algebraic Topology #Geometry #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Mapping class group #Mathematical analysis #Mathematics #Metrization theorem #Physics #Pure mathematics #Sequence (biology) #Surface (topology) #Unit disk
paper · doi:10.1142/s0218216506004324
openalex publication_date 2006/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/15
A left orderable completely metrizable topological group is exhibited containing Artin's braid group on infinitely many strands. The group is the mapping class group (rel boundary) of the closed unit disk with a sequence of interior punctures converging to the boundary. This resolves an issue suggested by work of Dehornoy.