The base layer is the layer that keeps your body dry, which is extremely important in both winter and summer. Wet skin cools too quickly in winter, potentially leading to serious frostbite, even without immediate awareness! Personally, for a base layer, I exclusively use one brand:
Craft.
In the summer, when your skin is saturated with moisture you can't sweat more, which means, you don't cool down. This means your bodies' core temperature will keep rising and you will risk landing into a heatstroke.