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We study the force-induced unfolding of a homopolymer on the threedimensional Sierpinski gasket. The polymer is subject to a contact energybetween nearest neighbour sites not consecutive along the chain and to astretching force. The hierarchical nature of the lattice we consider allows foran exact treatment which yields the phase diagram and the critical behaviour.We show that for this model mean field predictions are not correct, inparticular in the exact phase diagram there is {\em not} a low temperaturereentrance and we find that the force induced unfolding transition below thetheta temperature is second order.Comment: 15 pages, 5 eps figure

Force-induced unfolding of a homopolymer on a fractal lattice: exact results versus mean-field predictions