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Note on double points of immersions

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We show that not any smooth manifold can be double point manifold of a smooth self-transverse immersion of a closed n-manifold into the euclidean spaceR n+k. We investigate also the double covers which can (or can not) occur in this situation.

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Supported by the A.v. Humboldt Foundation

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Szücs, A. Note on double points of immersions. Manuscripta Math 76, 251–256 (1992). https://doi.org/10.1007/BF02567759

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  • DOI: https://doi.org/10.1007/BF02567759

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