Abstract
We give a generalization, for smooth Fredholm maps between Banach spaces, of the Preparation Theorem known in finite dimension. As an application we obtain the Prepared Form Theorem which is a basic tool in singularity theory.
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Balboni, F. The preparation theorem on banach spaces. Annali di Matematica pura ed applicata 175, 339–364 (1998). https://doi.org/10.1007/BF01783692
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DOI: https://doi.org/10.1007/BF01783692