How the charge is transferred to the sleeve from a body electrified negatively; positively?

Let the neutral sleeve be suspended and a negatively charged wand be brought to it. In the sleeve, free electrons, having fallen into the electric field, will move to the side farthest from the wand, after touching the electrons from the wand will go to the sleeve, having neutralized part of the positive charge, as a result, the sleeve will become negatively charged. If the wand is brought in with a positive charge, then, on the contrary, the electrons from the sleeve will flow onto the wand.