"Conduction" and "convection" both need material stuff to carry the heat from one place to another.
Both of the examples in the picture work fine without any material stuff along the way.
-- The top part of the picture shows the sun warming the Earth ... everybody knows there's no material stuff in space.
-- The lower part of the picture shows a campfire warming your hands. Yes there's air in the space between them, but that's not what's carrying the heat. The air is only there to keep the fire burning, but the heat travels to your hands without it.
Both examples show heat moving from one place to the other by Radiation.
