By introducing the concepts of asymptopia and bi-asymptopia, we show how
braided tensor C*-categories arise in a natural way. This generalizes
constructions in algebraic quantum field theory by replacing local
commutativity by suitable forms of asymptotic Abelianness.Comment: 20 pages, no figures. Final version, as to appear in "Rigorous
Quantum Field Theory", Progress in Mathematics, Volume 25