A segment of a textile fabric is separated by rolling the fabric while at least substantially weakening at least one predetermined portion of the yarns of the fabric. In the roll, a plane of weakness generally perpendicular to the axis about which the fabric was rolled permits the segment of the roll to one side of the plane to be readily separable from the segment to the other side thereof. In a preferred arrangement, at least one separable segment is a disposable fringed edge formed during interweaving of strands of warp and filling yarns, so that the fringed edge is readily taken-up during formation of the fabric and yet is readily separated when no longer desired or necessary.