Liftability for Double Coverings of Immersions of Non-Orientable Surfaces into 3-Space
Yutaka Ichihara, Shin Satoh · Houston journal of mathematics · 2005
Abstract. We prove that the double covering map of any generic immersion of a projective plane into 3-space does not lift to an embedding into 4-space. To prove this, we give a criterion of the liftability for double coverings of immersions of any non-orientable surfaces.