2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140423We construct an A-infinity structure on the tensor product of two A-infinity algebras by using the simplicial decomposition of the Stasheff polytope. The key point is the construction of an operad AA-infinity based on the simplicial Stasheff polytope. The operad AA-infinity admits a coassociative diagonal and the operad A-infinity is a retract by deformation of it. We compare these constructions with analogous constructions due to Saneblidze-Umble and Markl-Shnider based on the Boardman-Vogt cubical decomposition of the Stasheff polytope.Complete modification of the last part, that is the map p':AA-infinity -> A-infinityAlgebraic TopologyQuantum Algebra18D10; 55S99text