EN
We show that in a [Co_1/Au/Co_2/Au]_4 multilayer, where Co_{1(2)} denote Co layers of different thicknesses, a 10 keV He-ion bombardment with a 6×10^{14} ions cm^{-2} dose leads to changes of the easy direction from out-of-plane to in-plane in the thicker Co layers (t_{Co2} = 1 nm) while the perpendicular anisotropy of the thinner Co layers (t_{Co1} = 0.6 nm) is preserved. The investigated multilayers were obtained by sputtering and the thickness of the Au layers (t_{Au} = 4 nm) ensured that a direct coupling between the Co layers (through pinholes) and Ruderman-Kittel-Kasuya-Yosida-like interactions were negligible.