A note on unliftable immersed surfaces in 3-space

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Abstract

An immersed surface in 3-space is a surface with double curves and isolated triple points. In general, immersed surfaces in 3-space are not images of embedded surface in 4-space under the orthogonal projection. In this paper, we present a sufficient condition about a triple point for an immersed surface to become an unliftable surface into 4-space. Also we construct an orientable unliftable immersed sphere.

Original languageEnglish
Pages (from-to)19-25
Number of pages7
JournalJP Journal of Geometry and Topology
Volume19
Issue number1
DOIs
Publication statusPublished - Feb 1 2016

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Keywords

  • Immersion
  • Liftable immersion
  • Surface

ASJC Scopus subject areas

  • Geometry and Topology

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