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.
|Number of pages||7|
|Journal||JP Journal of Geometry and Topology|
|Publication status||Published - Feb 2016|
- Liftable immersion
ASJC Scopus subject areas
- Geometry and Topology