Properness of minimal surfaces with bounded curvature
  We show that immersed minimal surfaces of $\mathbb{R}^{3}$ with bounded curvature and proper self intersections are proper. We also show that the restriction of the immersing map to a wide component is always proper. When the immersing map is injective the whole surface is a wide component. Prior to these results it was only known that injectively immersed minimal surfaces with bounded curvature were proper. 
G. Pacelli Bessa (Universidade Federal do Ceara), Luquesio P. Jorge   (Universidade Federal do Ceara)