Liftability for Double Coverings of Immersions of Non-Orientable Surfaces into 3-Space

• Autores: Yutaka Ichihara, Shin Satoh
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 3, 2005, págs. 721-742
• Idioma: inglés
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• Resumen

  • 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.