(^^^^ not his project, hahaha)
Carbon fiber is just that, a fiber.  Its a cloth that is woven, and then made structural with the use of a resin, exactly like fiberglass.  You could make a nice 'edge' with it, but it would just wear down with skiing, cause it'd just be like having a resin edge.  it wouldn't work.
Ski edges are tempered or hardened steel or whatever.  Very hard, but brittle.
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Dont worry, its a controlled slide.