Answer:
When mountain climbing, you will need knowledge of the area you plan to be in. So maps and possibly a guide will be needed. Also correct foot-ware like hiking boots, steel-toed if desired, maybe even spikes depending on the terrain. A helmet would be smart, a fitted harness, a first aid kit. Nylon ropes are great and reliable, they are strong, light and difficult to cut on rocks. Avoid pulleys, they are not used in outdoor climbing. Carabiners are used for outdoor climbing, they are like pulleys as they anchor ropes and allow for adjustment when rappelling. Be Safe.