Industrial style means minimalism, exposed materials such as concrete, wires, metal and else. One of the examples for this style are stairs like those on the pictures below. These stairs are floating stairs that are made of some kid of metal, they are shiny and they are minimalist. Therefore, they have only threads, and they do not have handrails. This style is perfect for apartments that are furnished in this style or apartments that are small.
Industrial Style for Floating Stairs
Finally, see this type of stairs on the pictures below. For more ideas click the link under them.