2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/105097In this paper, we introduce a Hopf algebra, developed by the author and Andre Henriques, which is usable in the computation of the tmf homology of a space. As an application, we compute the tmf homology of BSigma_3 in a manner analogous to Mahowald's computation of the ko homology RP^infty.15 pages, 6 figuresAlgebraic Topology55N34; 55N20; 55T15The 3-local tmf homology of BSigma_3text