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Arcs, Cords and Felts - Six instances of the Linearization Principle

2010/06/28 by Clemens Bruschek, Bruschek, Clemens, H. Hauser +2 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math.AC #math.AG #math.CO #math.CV #msc:13H99 #msc:14B05 #msc:14B12 #msc:32B10

paper · pdf · doi:10.48550/arxiv.1006.5295

to be published in "The American Journal of Mathematics"

arxiv created 2010/06/28 · arxiv updated 2010/06/29

Abstract

It is shown how a selection of prominent results in singularity theory and differential geometry can be deduced from one theorem, the Rank Theorem for maps between spaces of power series.

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