Topological equivalence of finitely determined real analytic plane-to-plane map-germs

2009/04/14 by Olav Skutlaberg, Skutlaberg, Olav
Mathematics · #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.0904.2141

openalex publication_date 2009/04/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Generic smooth plane-to-plane map germs are topologically equivalent to cones of mappings of the circle. We carry out a complete topological classification of smooth stable mappings of the circle and show how this classification leads, via the result mentioned above, to a topological classification of finitely determined real analytic plane-to-plane map germs.

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