Nylon: Nylon is a synthetic fabric that gives a minimizer bra a smooth, lightweight feel while offering plenty of strength and stretch for a supportive fit. This is a lightweight, stretchy fabric that will give your bra that snappy, elastic feel Polyester: Polyester adds structure and durability to a minimizer bra, helping it maintain its shape and provide consistent support throughout the day. Bra shopping can be a hassle, so below find the seven best minimizer bras, tested by bra experts and editors.