The one material transported from the core to the surface in all three dredge-ups is:

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The dredge-up occurs when a star's convective outer layer extends down into the core, bringing material to the surface. The first dredge-up mostly brings up hydrogen and helium, but the subsequent dredge-ups bring up heavier elements. Carbon is the primary element brought up in all three dredge-ups, as it is produced via the triple alpha process in the core and is easily transported by convection.

The One Material Transported from the Core to the Surface