a core,

at least one element attached to the core, said at least one element comprising a central part fitted onto the core and at least one application member carried by the central part, said at least one application member having a proximal half attached to the central part and a distal half extending outward from the proximal half, a composition collection surface being formed by a relief on the distal half that defines a concavity that is open radially toward an outside, the distal half corresponding to a portion situated at a distance from the central part along an elongation axis of the said at least one application member above the half of a total length of said at least one application member measured along the elongation axis of said at least one application member, the concavity being free of any protruding relief within the concavity, a half of the concavity being symmetrical to another half of the concavity relative to a median axis of symmetry of the one concavity, wherein the median axis of symmetry of the concavity being coincident with the elongation axis of said at least one application member, the application member being formed by a strand of material, the application member comprising a plurality of straight arms and/or arms of constant cross-section defining between them said concavity.