Luminal endoprosthesis formed of a multi-layer braided framework. The framework is devoid of any cover layer, and formed of a plurality of stabilized layers of biocompatible metal wires which are interlaced, forming a lattice, a plurality of wires of a given layer being integrated in the lattice of the adjacent layers. The mechanical characteristics of an outermost layer is so that when in place, the layer applies against a vessel wall, the other layers extending substantially along cylindrical surfaces distinct from the outermost layer so as to form a multi-layer mat which affects the haemodynamic of a flow of blood passing along or through this mat and preventing a growing of plaque.