This implant (70) is intended to be introduced into a human or animal body cavity, and comprises two walls intended to grip between them a biological protuberance present in the cavity in order to attach the implant (70) to the biological protuberance. Each wall comprises a structural element (76, 78； 84, 86) having corrugations such that the structural element (76, 78； 84, 86) is folded up on itself several times, enabling the wall (76, 78； 84, 86) to be folded up before the introduction of the implant (70), then deployed inside the cavity.
