The invention provides:A core assembly, comprising:a core member having an intermediate region and a distal tip;a stent extending over the core member intermediate region and comprising a distal portion;anda distal cover comprising a first end and a second end, the second end being coupled to a distal tip structure; the distal tip structure comprising (a) an inner lumen that receives the core member or (b) a coil; such that the distal tip structure can slide and/or rotate relative to the core member; the distal cover having a delivery orientation in which the first end (i) extends proximally relative to the distal tip and (ii) at least partially surrounds the stent distal portion, the distal cover being movable from the delivery orientation to an everted orientation wherein the first end is positioned distally relative to the second end.