adidas Terrex AX4 GTX Womens Walking Shoes The adidas Terrex AX4 GTX Womens Walking Shoes are perfect for taking on the trails, crafted with a low profile ankle collar coupled with a lace fastening that ensures a secure fit, while a Gore-Tex membrane to the upper allows fantastic breathability while also protecting your feet from the elements. A Continental rubber outsole along with deep lugs ensures traction on a wide range of surfaces, completed with the classic adidas branding to the side.