2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75554We compute the structure relations in special A_\infty-bialgebras whose operations are limited to those defining the underlying A_\infty-(co)algebra substructure. Such bialgebras appear as the homology of certain loop spaces. Whereas structure relations in general A_\infty-bialgebras depend upon the combinatorics of permutahedra, only Stasheff's associahedra are required here.9 pages, 4 figuresAlgebraic Topology55U05, 52B05, 05A18, 05A19text