Smooth maps with singularities of bounded K-codimensions

2007/04/02 by Yoshifumi Ando, Ando, Yoshifumi
Mathematics · #57R45 #58K30 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0704.0115

openalex publication_date 2007/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We will prove the relative homotopy principle for smooth maps with singularities of a given \cal K-invariant class with a mild condition. We next study a filtration of the group of homotopy self-equivalences of a given manifold P by considering singularities of non-negative \cal K-codimensions.

Related

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• Invariants of singular sets of smooth maps
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