a multi - layered thermoplastic polyolefin film having an improved combination of physical characteristics is disclosed . in particular , the multi - layered film evidences an improved combination of elongation , oxygen transmission and heat shrinkability . preferred five layer embodiments of the film comprises a core layer of either a low density polyethylene homopolymer or an ethylene acetate copolymer or a blend of an ethylene vinyl acetate copolymer with a linear low density polyethylene ; two adjacent intermediate layers of a very low density polyethylene with a density of less than 0 . 900 gms / ccm , and two surface layers of an ethylene vinyl acetate copolymer .