A microapertured polymeric web exhibiting a substantially uniform soft and silky tactile impression on at least one of its surfaces. In a preferred embodiment the present invention relates to webs exhibiting a fine scale pattern of discrete surface aberrations, each of said surface aberrations having its amplitude oriented substantially perpendicular to the surface in which said surface aberration originates. At least one tiny aperture (microaperture) is provided substantially coincidental with the maximum amplitude of each surface aberration. The discontinuity created by the aperture at the peak of each of the surface aberrations substantially reduces the resistance to both compression and shear of each individual surface aberration. In addition the volcano-like edges formed at the periphery of each microaperture are typically in the form of thin, irregularly shaped petals which not only reduce the total contact area with the user's skin, but which are also easily deflected when relative movement with the user's skin occurs. Microapertured webs of the present invention are also relatively quiet when subjected to movement, making them particularly suitable for use as topsheets and/or backsheets in disposable absorbent structures such as adult incontinent briefs.