Upon, over
Epi- comes from Greek "epi" (upon, over, in addition to, after) and signals a superior position, addition, or point of origin: epidemic = a disease that falls "upon" the people (epi = upon + demos = people); epicenter = the point on the surface directly above the seismic focus; epidermis = the layer upon the dermis (the outer layer of skin); epilogue = a text that comes "after" or "upon" the main body of a work.