An improved process for forming a polymer mat is described. The process of electrospinning polymer fibers includes providing an apparatus having a charge source, a target a distance from the charged source and a slot die having a spinning edge with a slit. The spinning edge has a radius of curvature between 5 cm and 100 cm. The method further includes providing a polymeric preparation (solution, dispersion, suspension, or melt) to the slot die and applying an electric field to a part or the whole apparatus or polymeric preparation. When the electric field is applied, a plurality of Taylor cones are produced with jets that stretch the polymeric preparation into a fibrous structure that can be collected on a target surface.