Headsweats Swim Bike Run Race Running Hat. Tell the world about your passion for triathlons; train and race in the Headsweats Swim, Bike, Run Race Hat. Swim, Bike, Run words and characters embroidered on bill. A race day standard, the Race Hat remains a top seller because of its great fit, superior wicking properties and long lasting durability. Standing and watching the runners go by at the crowded Chicago Marathon, in downtown Boston, or at IronMan Kona, you’ll see a hundred of this style of hat go by in an hour. This Headsweats technical hat style can be seen almost everywhere, from the supermarket, charity walk, golf course, tennis court, construction site or favorite fishing hole.