A note on unliftable immersed surfaces in 3-space

Research output: Contribution to journalArticle

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

Fingerprint

Triple Point
Orthogonal Projection
Curve
Sufficient Conditions

Keywords

  • Immersion
  • Liftable immersion
  • Surface

ASJC Scopus subject areas

  • Geometry and Topology

Cite this

A note on unliftable immersed surfaces in 3-space. / Yashiro, Tsukasa.

In: JP Journal of Geometry and Topology, Vol. 19, No. 1, 01.02.2016, p. 19-25.

Research output: Contribution to journalArticle

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