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Golubitsky and Guillemin Stable Mappings and their singularities is a fairly canonical reference for the work of Thom-Mather-Levine thread of ideas, building off of Whitney and Morse's work.

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Golubitsky and Guillemin Stable Mappings and their singularities is a fairly canonical reference for the work of Thom-Mather-Levine thread of ideas, building off of Whitney and Morse's work.