The "layer" of gas is misleading at best, and frankly I'd call it total BS. [It is, however, a commonly cited technique and is used to sell you stuff.] All these gases (regular air, CO2, Ar, N2) are roughly the same mass. You don't get concentration gradients due to weight unless you are talking about thousands of feet, and even at the top of Everest there is still some oxygen in the air. Argon is actually a bit lighter than CO2, although it's heavier than O2. But again, these are really small differences. Gravity is a very, very weak force when acting on small masses, and for our purposes entropy always wins this particular battle. Entropy says the gases should be mixed, and thus they are.
You can reduce the amount of oxygen in a container by flushing out the volume with another gas. Notice "reduce", not "eliminate". You'll want to flush the space with at least 3 times its volume with your inert gas, be it CO2, N2 or Ar. The more you flush, the less oxygen will be in the container. But, the longer it sits there after you turn the gas off, the more oxygen will creep back in.
You can get a valve with a long tube attached. Hook things up to a gas cylinder. Stick the tube in the bottle, open the valve, shoot gas into the bottle. Close the gas valve, fill the bottle. This way you'll have less oxygen exposure, which will help the mead last longer. You can also flush out your carboys (or kegs!) for the same reason.