Desingularizing special generic maps into 3-dimensional space

2016/03/15 by Masayuki Nishioka, Nishioka, Masayuki · 1 citation
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1603.04520

openalex publication_date 2016/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A smooth map between smooth manifolds is called a special generic map if it has only definite fold points as its singularities. In this paper, we give conditions for a special generic map into the 3-dimensional Euclidean space to be factored as the composition of an embedding and a projection for certain dimensions.

Cited by

• Topology of boundary special generic maps into Euclidean spaces

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