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PDF-Immersions,submersionsandcriticalvaluesDe nition0.2(SubmersionandImmer PDF document

isonetooneeverywhereontheopeninterval232Hencethe gureeightistheimageofaonetooneimmersionHenceitisanimmersedsubmanifoldofR2withatopologyandmanifoldstructureinducedfromtheopeninterval

isone-to-oneeverywhereontheopeninterval(=2;3=2).Hencethe gure-eightistheim-ageofaone-to-oneimmersion.HenceitisanimmersedsubmanifoldofR2withatopologyandmanifoldstructureinducedfromtheopeninterval(

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Immersions,submersionsandcriticalvaluesDe nition0.2(SubmersionandImmer: Transcript

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