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A skull cap is indispensible in the winter months. Modern helmets are deliberately well ventilated, which is great in summer but not so handy in the cold.
The Skully is thin enough to fit easily under your helmet, snug enough not to bunch up, and stretchy enough not to feel restrictive.
Thermoflex fabric is ideal for this - warm and insulating without undue bulk, and with a raw (i.e. not stitched or folded) edge so that it lies flat and doesn't squash into your head.