Immersibility of manifolds is decidable in odd codimension

Helen Epelbaum

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arXiv · 2406.07788

Immersibility of manifolds is decidable in odd codimension

Helen Epelbaum

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Abstract

Given a smooth map $f:M\rightarrow N$ of closed oriented smooth manifolds, is there an immersion homotopic to $f$? We provide an algorithm that decides this when the codimension of the manifolds is odd.

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BibTeX RIS

Helen Epelbaum. 2024-10-29. Immersibility of manifolds is decidable in odd codimension. https://arxiv.org/abs/2406.07788

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