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The Golden Age of Immersion Theory in Topology: 1959-1973

2003/07/09 by David Spring, Spring, David
Computer Science · Mathematics · #01A60 #57R42 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #History and Overview (math.HO) #Topological and Geometric Data Analysis #math.GT #math.HO #msc:01A60 #msc:57R42

paper · pdf · doi:10.48550/arxiv.math/0307127

16 pages. Written in AMSTEX

arxiv created 2003/07/09 · openalex publication_date 2003/07/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We briefly review selected contributions to immersion-theoretic topology, from S. Smale's immersion theory for spheres to M. Gromov's convex integration theory, during the early "golden" period from about 1959-1973. Historical remarks are included and technical concepts are presented informally.

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