Apparatus for percutaneously occluding a hollow structure, said apparatus comprising:an occluder, said occluder comprising a first component and a second component, wherein said first component is configured so that it may assume (i) a diametrically-reduced configuration for disposition within the lumen of a hollow tube, and (ii) a diametrically-expanded configuration for disposition adjacent to the hollow structure, whereby to occlude the hollow structure, and further wherein said second component percutaneously connects said first component to a site remote from said first component.