Surfaces in 3-space that do not lift to embeddings in 4-space

J. Carter, Masahico Saito

Type: Article

Publication Date: 1998-01-01

Citations: 14

DOI: https://doi.org/10.4064/-42-1-29-47

Abstract

A necessary and sufficient condition for an immersed surface in 3-space to be lifted to an embedding in 4-space is given in terms of colorings of the preimage of the double point set. Giller's example and two new examples of non-liftable generic surfaces

Locations

Banach Center Publications - View - PDF

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